%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- Gamma_0: (extend-no-conflict) 0: [group_element(e_3)] Gamma_1: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) Gamma_2: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] Gamma_3: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] Gamma_4: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_5: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] Gamma_6: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_7: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_8: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_9: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_10: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 10: [~(equalish(e_3,e_2))] Gamma_11: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 10: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_12: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_3)) 9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 10: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_13: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 10: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_14: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [~(equalish(e_3,e_2))] 9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 10: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_15: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_16: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_17: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 9: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] Gamma_18: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] 9: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_19: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_20: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_21: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_22: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [~(product(e_2,e_2,e_3))] 10: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_3)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_23: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_24: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_25: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)] Gamma_26: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)] 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_27: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] Gamma_28: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 10: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2)), equalish(e_3, e_2) Gamma_29: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_30: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_31: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_32: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_33: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] Gamma_34: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] Gamma_35: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_36: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_37: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_38: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_39: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), product(e_2,e_2, e_2), [product(e_2,e_2,e_1)], ~(group_element(e_2)) Gamma_40: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), product(e_2,e_2, e_2), [product(e_2,e_2,e_1)], ~(group_element(e_2)) 15: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_41: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), product(e_2,e_2, e_2), [product(e_2,e_2,e_1)], ~(group_element(e_2)) Gamma_42: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [~(product(e_3,e_2,e_2))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_2), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_43: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product( e_2,e_2,e_2)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_44: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [~(product(e_3,e_2,e_2))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)) Gamma_45: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) Gamma_46: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] 13: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_47: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_48: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_49: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_50: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [equalish( e_3,e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_51: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_52: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_53: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], equalish( e_3,e_2), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_54: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_55: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_56: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] Gamma_57: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] Gamma_58: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_59: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] Gamma_60: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_61: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] Gamma_62: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 13: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_2)), equalish(e_3, e_2) Gamma_63: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_64: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_65: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [product(e_2,e_3,e_3)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_66: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_67: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_68: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] Gamma_69: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_70: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_71: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) Gamma_72: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] Gamma_73: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] Gamma_74: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] Gamma_75: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] Gamma_76: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] Gamma_77: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_78: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] Gamma_79: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_80: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 27: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_81: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_82: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 27: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_3)), ~( product(e_1,e_1,e_3)) Gamma_83: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 27: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] Gamma_84: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 27: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_85: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 27: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_86: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 27: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_87: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 27: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_88: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_89: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_90: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) Gamma_91: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_92: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_93: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_94: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_95: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_96: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_97: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) Gamma_98: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_99: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 32: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_100: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 27: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 30: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 31: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 32: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_101: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 27: [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_102: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 27: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_103: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 23: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 26: product(e_2,e_2,e_1), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)) 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_104: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_105: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_106: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 20: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 22: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 23: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_107: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_2,e_3,e_1))], product(e_2,e_2, e_1), ~(product(e_1,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] Gamma_108: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] Gamma_109: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 18: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] Gamma_110: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_111: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_112: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_113: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_114: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_115: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] Gamma_116: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 21: ~(product(e_3,e_1,e_2)), product(e_2,e_3,e_2), [~(product(e_1,e_2,e_2))] Gamma_117: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_1,e_2)), product(e_2,e_3,e_2), [~(product(e_1,e_2,e_2))] 21: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] Gamma_118: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_1,e_2)), product(e_2,e_3,e_2), [~(product(e_1,e_2,e_2))] 21: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_119: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_1,e_2)), product(e_2,e_3,e_2), [~(product(e_1,e_2,e_2))] 21: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_120: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 21: ~(product(e_3,e_1,e_2)), product(e_2,e_3,e_2), [~(product(e_1,e_2,e_2))] Gamma_121: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: [product(e_3,e_2,e_3)], product(e_3,e_1,e_1), product(e_2,e_3,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_122: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], product(e_2,e_3,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_123: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], product(e_2,e_3,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 20: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_124: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: [product(e_3,e_2,e_3)], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 20: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_125: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: [group_element(e_1)] 16: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 18: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 20: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_126: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 16: [group_element(e_1)] 17: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) 19: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product(e_2,e_2, e_1), [~(product(e_1,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_127: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 16: [product(e_3,e_2,e_3)], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_128: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 16: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_129: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 16: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), ~(product(e_2,e_3,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_130: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 15: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_131: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 16: product(e_3,e_2,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 17: [~(product(e_3,e_1,e_2))], product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)) Gamma_132: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], product(e_2,e_3, e_3), product(e_2,e_3,e_2), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_133: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_134: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_135: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_2,e_3, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_136: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_137: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [equalish( e_3,e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_138: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), ~( group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_139: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_140: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 10: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_2), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_141: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_142: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(group_element(e_3)), ~( group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_143: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_144: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_145: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 4: [group_element(e_2)] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_1))], ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_146: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 4: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_147: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 4: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_148: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 3: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 4: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_149: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] Gamma_150: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] Gamma_151: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] Gamma_152: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] Gamma_153: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] Gamma_154: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_155: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_3)] Gamma_156: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_3)] 9: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] Gamma_157: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_3)] Gamma_158: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_3)) Gamma_159: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] Gamma_160: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] Gamma_161: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_162: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_163: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] Gamma_164: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] Gamma_165: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_166: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] Gamma_167: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2)), equalish(e_3, e_2) Gamma_168: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)] 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_169: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2, e_3,e_2)] 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_170: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_171: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_172: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_173: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_174: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_175: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] Gamma_176: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] Gamma_177: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_178: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] Gamma_179: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_180: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_181: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) Gamma_182: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] Gamma_183: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] Gamma_184: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] Gamma_185: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] Gamma_186: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] Gamma_187: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_188: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] Gamma_189: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 24: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_190: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 24: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_191: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 24: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_192: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 24: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 25: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_3)), ~( product(e_1,e_1,e_3)) Gamma_193: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 24: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] Gamma_194: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_195: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_196: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_197: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_198: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_199: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_200: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] Gamma_201: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] Gamma_202: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 24: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 25: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] Gamma_203: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 24: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 25: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) Gamma_204: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 24: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 25: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) Gamma_205: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] Gamma_206: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), product(e_2,e_1,e_1), ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] Gamma_207: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] Gamma_208: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_209: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_210: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_211: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) Gamma_212: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_213: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_214: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_215: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_3,e_1,e_1))], ~( product(e_1,e_1,e_3)) Gamma_216: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] Gamma_217: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_218: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_3,e_1,e_1)), ~( product(e_1,e_3,e_1)) 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_219: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_220: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_221: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_3,e_1,e_1))], ~( product(e_1,e_1,e_1)) 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_222: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_223: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_224: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_225: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_226: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_227: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 25: product(e_3,e_3,e_3), [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_228: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 25: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_229: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 25: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_230: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 23: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 25: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_2,e_1))], ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_231: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_2,e_1))], ~( group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 21: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)) 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 26: product(e_2,e_1,e_3), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_1,e_2))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_232: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_2,e_1))], ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 22: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_233: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_2,e_1))], ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 22: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_234: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_3)), [~(product(e_1,e_2,e_1))], ~( group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 20: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 21: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 22: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_235: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_2,e_3,e_1))], ~(product(e_1,e_2,e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_236: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_3))], ~(group_element(e_2)), ~( group_element(e_1)) 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_237: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_3))], ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_2)] 19: ~(product(e_2,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_2, e_1)] 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_238: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_3))], ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_239: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_3))], ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_240: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_3))], ~(group_element(e_2)), ~( group_element(e_1)) 17: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_241: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_242: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_243: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] Gamma_244: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) Gamma_245: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 18: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) Gamma_246: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 18: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 19: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_247: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) Gamma_248: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 19: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_2,e_3)), ~( product(e_1,e_2,e_2)) Gamma_249: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 19: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_2))] Gamma_250: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_2))] 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_3)), [product(e_2,e_1,e_3)], ~(product(e_1,e_2,e_2)) 19: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_251: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_2))] 17: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_252: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_2))] 17: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_253: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 17: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_2))] 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_254: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_255: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_256: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] Gamma_257: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] Gamma_258: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] Gamma_259: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_260: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] Gamma_261: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_262: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] Gamma_263: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_264: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) Gamma_265: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_266: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_3)) Gamma_267: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_268: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) Gamma_269: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) Gamma_270: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) Gamma_271: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_272: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_273: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_274: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] Gamma_275: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) Gamma_276: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_277: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) Gamma_278: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) Gamma_279: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) 31: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_280: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 31: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) Gamma_281: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 31: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) Gamma_282: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 31: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) Gamma_283: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) 28: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 29: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 30: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 31: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_284: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_1))], ~( product(e_1,e_1,e_2)) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_285: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_286: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 27: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_2)) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_287: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 28: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_288: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 28: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_289: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_290: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: [product(e_3,e_1,e_3)], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_291: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_292: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 29: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_293: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 29: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_294: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 29: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 31: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_295: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] 30: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_296: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: [product(e_3,e_1,e_3)], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), product( e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_297: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,e_3)], ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_298: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: [product(e_3,e_1,e_3)], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), ~( product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_299: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_300: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_2,e_1,e_2))], ~( product(e_1,e_2,e_1)) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), ~(product(e_1,e_2,e_1)), [~( product(e_1,e_1,e_2))] 29: ~(product(e_2,e_2,e_3)), product(e_2,e_1,e_3), [~(product(e_1,e_2,e_2))] Gamma_301: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_302: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_303: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) 19: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_2,e_3)), [~( product(e_1,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_304: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), product( e_3,e_1,e_3), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_305: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [product( e_3,e_1,e_3)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_306: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_307: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: [group_element(e_1)] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_308: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 16: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_309: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 14: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_310: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_311: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 15: product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~( product(e_2,e_2,e_3)) 16: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_312: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_313: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_314: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] Gamma_315: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_316: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_317: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) Gamma_318: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] Gamma_319: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] Gamma_320: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] Gamma_321: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_322: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] Gamma_323: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_324: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] Gamma_325: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_326: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_327: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_328: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 26: product(e_3,e_2,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_3)), ~( product(e_1,e_1,e_3)) Gamma_329: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] Gamma_330: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_331: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_332: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_333: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_1,e_3)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_2,e_3), ~(product(e_2,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_334: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_335: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_336: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) Gamma_337: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_338: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), product(e_2,e_1,e_1), ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_339: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_340: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_341: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_342: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_343: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) Gamma_344: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_345: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_346: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_347: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_3,e_1,e_1))], ~( product(e_1,e_1,e_3)) Gamma_348: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 29: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] Gamma_349: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)), [product(e_1, e_1,e_3)] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_350: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))], ~(product(e_3,e_1,e_1)), ~( product(e_1,e_3,e_1)) 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_351: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_352: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: [product(e_3,e_3,e_1)], ~(product(e_3,e_1,e_3)), ~(product(e_1,e_3,e_1)) 31: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_353: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_3,e_1,e_1))], ~( product(e_1,e_1,e_1)) 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_354: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_355: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_356: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_357: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_358: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), product(e_2,e_2, e_3), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_3)), ~(product(e_1,e_2,e_1)), ~( group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_359: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_3,e_3), [product(e_3,e_2,e_3)], ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), ~( product(e_1,e_2,e_1)), ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_360: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 26: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), [~( product(e_1,e_2,e_1))], ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_361: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), [~( product(e_1,e_2,e_1))], ~(group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_2,e_1,e_1))], ~(product(e_1,e_2,e_1)) 27: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 28: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 29: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 30: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_362: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), [~( product(e_1,e_2,e_1))], ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_363: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), [~( product(e_1,e_2,e_1))], ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_364: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: [product(e_3,e_1,e_1)], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_2,e_3)) 19: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_3,e_1,e_1)), product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), [~( product(e_1,e_2,e_1))], ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 23: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_1))] 24: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_3,e_1))] 25: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), ~(product(e_3,e_1,e_1)), [~( product(e_1,e_1,e_3))] 26: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_365: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_2,e_3,e_1))], product(e_2,e_2,e_3), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 19: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_366: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 19: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_367: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), [~( product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~( product(e_1,e_2,e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_2,e_2,e_3), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_3)) 20: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_368: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 18: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_369: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 18: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_370: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_3,e_1,e_3)), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), ~(product(e_3,e_1,e_3)), [~(product(e_1,e_3,e_3))] Gamma_371: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_372: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_373: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] Gamma_374: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) Gamma_375: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) Gamma_376: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] Gamma_377: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) Gamma_378: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] Gamma_379: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 23: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] Gamma_380: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 23: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_381: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 23: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_2)), [product(e_1, e_3,e_2)] Gamma_382: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 23: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_2)), [product(e_1, e_3,e_2)] 26: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] Gamma_383: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 21: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 23: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_2)), [product(e_1, e_3,e_2)] 26: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] 27: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_384: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_2)), [product(e_2,e_1,e_2)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 22: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 23: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 25: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 26: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_2)), [product(e_1, e_3,e_2)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] Gamma_385: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_2,e_2))], ~(product(e_1,e_2,e_2)), equalish( e_3,e_2) 20: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 22: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 23: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] Gamma_386: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish( e_3,e_2) 20: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 22: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 23: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] Gamma_387: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish( e_3,e_2) 18: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_2)), [product(e_2,e_3,e_2)], ~(product(e_1,e_2,e_2)) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_1)] 22: ~(product(e_2,e_2,e_1)), [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_2)) 23: ~(product(e_2,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_2,e_1)] 24: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_1)] Gamma_388: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish( e_3,e_2) 18: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_389: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish( e_3,e_2) 18: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_390: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_2)], product( e_3,e_1,e_1), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish( e_3,e_2) 19: ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_391: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_1), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_392: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_393: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] Gamma_394: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] Gamma_395: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] Gamma_396: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_397: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] Gamma_398: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_399: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] Gamma_400: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_401: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) Gamma_402: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_3)], ~(product(e_1,e_1,e_3)) Gamma_403: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_3)) Gamma_404: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 25: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_405: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: ~(product(e_2,e_1,e_3)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_3)] 26: product(e_3,e_1,e_3), [~(product(e_1,e_3,e_3))], ~(product(e_1,e_1,e_3)) Gamma_406: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) Gamma_407: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) Gamma_408: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_409: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_410: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_411: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] Gamma_412: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) Gamma_413: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] Gamma_414: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) Gamma_415: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) Gamma_416: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) Gamma_417: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) 32: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_418: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) 31: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) 32: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) 33: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_419: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 28: [product(e_2,e_1,e_1)], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_2)) 29: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_1)] 30: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 31: ~(product(e_2,e_1,e_1)), [product(e_1,e_2,e_2)], ~(product(e_1,e_1,e_2)) 32: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) 33: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_1)) Gamma_420: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], ~(product(e_1,e_1,e_2)), equalish( e_3,e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) Gamma_421: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 28: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) Gamma_422: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 27: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)), [product(e_1, e_1,e_2)] 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) 30: ~(product(e_3,e_1,e_1)), [product(e_1,e_3,e_2)], ~(product(e_1,e_1,e_2)) Gamma_423: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) Gamma_424: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 26: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 27: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) Gamma_425: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(product(e_1,e_2,e_1)), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 29: [product(e_2,e_2,e_1)], ~(product(e_2,e_1,e_2)), ~(product(e_1,e_2,e_1)) Gamma_426: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: [product(e_3,e_1,e_3)], ~(product(e_3,e_1,e_1)), product(e_2,e_1, e_1), ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_427: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_1)], ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 27: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) 28: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) Gamma_428: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [product(e_2,e_1, e_1)], ~(product(e_1,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) Gamma_429: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: [product(e_3,e_1,e_3)], ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) Gamma_430: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 24: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 26: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) Gamma_431: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_1, e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [equalish(e_3, e_1)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 24: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_3))], ~( product(e_1,e_2,e_1)) 25: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_2))], ~(product(e_1,e_2,e_1)), equalish( e_3,e_2) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 27: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] 28: ~(product(e_3,e_1,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish( e_3,e_2) Gamma_432: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_433: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_434: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_1)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 19: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 22: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_2) 23: product(e_3,e_1,e_3), ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_3))] Gamma_435: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_436: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [product(e_3,e_1,e_3)], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_437: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_438: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [group_element(e_1)] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 17: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 18: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), [~(group_element(e_1))] Gamma_439: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 15: [group_element(e_1)] 16: product(e_3,e_3,e_3), product(e_3,e_2,e_3), [~(product(e_3,e_1,e_3))], ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), ~(group_element(e_2)), ~( group_element(e_1)) 17: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 18: product(e_3,e_1,e_3), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_440: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 15: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_441: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_442: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 16: [~(product(e_3,e_1,e_2))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_443: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), product(e_2,e_2,e_1), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_444: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [product(e_2,e_2,e_1)], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_445: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [product(e_2,e_2,e_1)], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_446: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), product(e_2,e_2,e_3), [product(e_2,e_2,e_1)], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_447: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_3), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_448: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_3)], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_449: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_450: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 11: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_451: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_1)] 12: ~(product(e_2,e_3,e_1)), [equalish(e_1,e_1)] 13: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: product(e_3,e_3,e_3), product(e_3,e_2,e_3), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), [~(product(e_2,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_452: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 11: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], product(e_3,e_2, e_3), product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_453: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_3), product(e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_454: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: product(e_3,e_3,e_3), product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~( product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_455: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_3), product(e_3,e_2,e_2), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) Gamma_456: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_3), [product(e_3,e_2,e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) Gamma_457: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_458: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_459: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_460: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: [group_element(e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), product( e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] Gamma_461: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_3), product(e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_462: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 7: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_463: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~( group_element(e_3)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_464: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 7: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(group_element(e_3)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_465: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_466: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_467: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] Gamma_468: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] Gamma_469: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_470: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] Gamma_471: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] Gamma_472: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_473: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] Gamma_474: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_475: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 11: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] Gamma_476: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_477: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_478: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_479: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] Gamma_480: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_481: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product( e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_482: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product( e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) Gamma_483: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product( e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_484: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product( e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) Gamma_485: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), ~( product(e_3,e_2,e_3)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_486: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 10: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_487: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_488: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_489: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_490: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] Gamma_491: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_492: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_1)], ~(product(e_2,e_3,e_3)) Gamma_493: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_1)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_494: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_1)], ~(product(e_2,e_3,e_3)) Gamma_495: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 14: [~(product(e_3,e_3,e_1))], ~(product(e_2,e_3,e_3)), equalish(e_3, e_2) Gamma_496: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_497: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_498: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_499: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_500: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] Gamma_501: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_502: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_2)] Gamma_503: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2)), equalish(e_3, e_2) Gamma_504: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_505: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_1)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_506: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_507: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_2)), [product(e_2, e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_508: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_2)), equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_509: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_510: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 14: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_511: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product( e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_512: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_513: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product( e_3,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_514: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_515: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: [group_element(e_2)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_516: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~( product(e_3,e_2,e_3))], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_517: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 8: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_518: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [equalish( e_3,e_2)], ~(group_element(e_3)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_519: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 8: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), ~( group_element(e_3)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_520: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 7: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_521: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 8: product(e_3,e_3,e_3), product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), [~(group_element(e_2))] 9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_522: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] Gamma_523: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: product(e_3,e_3,e_3), [product(e_3,e_3,e_2)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] Gamma_524: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] Gamma_525: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] Gamma_526: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] Gamma_527: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] Gamma_528: (move) 0: [~(group_element(e_3))] 1: [group_element(e_3)] 2: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 3: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 4: product(e_3,e_3,e_3), product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~( group_element(e_3)) 5: [~(equalish(e_3,e_2))] Gamma_529: (resolve) 0: [~(group_element(e_3))] 1: [] 2: [~(equalish(e_3,e_2))] SZS status Unsatisfiable