%---------------- 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_3,e_2,e_2)), [~(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_3,e_2,e_2)), [~(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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 9: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(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_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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3)], ~(product(e_3,e_2,e_2)), product(e_2,e_2, e_1), equalish(e_3,e_2), ~(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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_1)) 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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_1)) 12: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_1)), 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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 11: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_1)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_1)) 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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 11: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_1)), equalish(e_3, e_2) 12: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_1)), 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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 11: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_1)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_1))], 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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) 11: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(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_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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) 11: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_2)), equalish(e_3,e_2), ~( group_element(e_2)) Gamma_32: (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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) 11: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [equalish(e_3,e_2)], ~( group_element(e_2)) Gamma_33: (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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) 11: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_2)), ~(group_element(e_2)) Gamma_34: (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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) 11: product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) Gamma_35: (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))], ~(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_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_3,e_2,e_2)), [~(product(e_2,e_2,e_3))] 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_2,e_1))], equalish(e_3, e_2) Gamma_36: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_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_37: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_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_38: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_39: (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))], ~(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_2,e_3,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)) Gamma_40: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) Gamma_41: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) Gamma_42: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [product(e_2,e_2,e_2)] Gamma_43: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [product(e_2,e_2,e_2)] 11: ~(product(e_2,e_2,e_2)), [equalish(e_2,e_2)] Gamma_44: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [product(e_2,e_2,e_2)] 11: ~(product(e_2,e_2,e_2)), [equalish(e_2,e_2)] 12: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_45: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_2,e_3,e_2)), [product(e_2,e_2,e_2)] 12: ~(product(e_2,e_2,e_2)), [equalish(e_2,e_2)] Gamma_46: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) Gamma_47: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [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)) 10: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) Gamma_48: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [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)) 11: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_1), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_50: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_51: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_2,e_3,e_1)), [equalish(e_2,e_2)] Gamma_52: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_53: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_54: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: [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_59: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: [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)) 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] Gamma_60: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: [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_61: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,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_62: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,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_63: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) Gamma_64: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_1, e_2)] Gamma_65: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_1, e_2)] 22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_2, e_1)] Gamma_66: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_1, e_2)] 22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_2, e_1)] 23: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_67: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_2)), [equalish(e_2, e_1)] Gamma_68: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_69: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) Gamma_70: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_71: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: [~(product(e_3,e_1,e_3))], product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: [product(e_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_74: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: [product(e_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] Gamma_75: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: [product(e_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_76: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [product(e_1,e_3, e_2)], product(e_1,e_3,e_1), ~(group_element(e_3)), ~(group_element(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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [product(e_1,e_3, e_2)], product(e_1,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_78: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [product(e_1,e_3, e_2)], product(e_1,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] Gamma_79: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [product(e_1,e_3, e_2)], product(e_1,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_80: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: [~(product(e_2,e_3,e_1))], product(e_2,e_1,e_3), product(e_2,e_1, e_2), product(e_1,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_81: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) Gamma_82: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] Gamma_83: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] Gamma_84: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] Gamma_85: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 28: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,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_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 26: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 28: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 29: [~(equalish(e_3,e_1))] 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_3)), [equalish(e_3, e_1)] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 25: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 29: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: [~(equalish(e_3,e_1))] 18: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_1,e_3)) 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 25: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 29: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_89: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [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_1,e_3)), [equalish(e_1, e_3)] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 25: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 29: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_90: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 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_1,e_3)), [equalish(e_1, e_3)] 18: [~(equalish(e_3,e_1))] 19: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_1,e_3))] 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_1,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_2,e_3)), [product( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), [~(product(e_1,e_3,e_3))] 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 25: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_3), product(e_2,e_1, e_2), [product(e_1,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_1, e_2)] 28: ~(product(e_2,e_1,e_1)), ~(product(e_1,e_1,e_1)), [equalish(e_2, e_1)] 29: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_91: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_92: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_93: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] Gamma_94: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: [product(e_1,e_2,e_3)], product(e_1,e_2,e_2), product(e_1,e_2,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_95: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [product(e_1,e_2, e_2)], product(e_1,e_2,e_1), ~(group_element(e_2)), ~(group_element(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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [product(e_1,e_2, e_2)], product(e_1,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_97: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [product(e_1,e_2, e_2)], product(e_1,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] Gamma_98: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [product(e_1,e_2, e_2)], product(e_1,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_99: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: [~(product(e_3,e_2,e_1))], product(e_3,e_1,e_3), ~(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)) Gamma_100: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) Gamma_101: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] Gamma_102: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_1)], ~(product(e_1,e_2,e_1)) Gamma_103: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 25: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_1)], ~(product(e_1,e_2,e_1)) 26: [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_1)), equalish(e_3, e_1) Gamma_104: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 25: [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_1)), equalish(e_3, e_1) 26: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_1)], ~(product(e_1,e_2,e_1)) Gamma_105: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 25: [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_1)), equalish(e_3, e_1) 26: [~(product(e_3,e_2,e_1))], ~(product(e_1,e_2,e_1)), ~(product(e_1,e_1,e_1)), equalish( e_3,e_1) Gamma_106: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 25: [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_1)), equalish(e_3, e_1) 26: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_1))], equalish( e_3,e_1) Gamma_107: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_1))], equalish( e_3,e_1) 25: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 26: [~(product(e_3,e_1,e_1))], ~(product(e_1,e_1,e_1)), equalish(e_3, e_1) Gamma_108: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_1))], equalish( e_3,e_1) 25: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_109: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), ~(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)) 24: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_1))], equalish( e_3,e_1) 25: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_110: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1)), product(e_3,e_1,e_3), ~(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)) 25: ~(product(e_3,e_2,e_1)), ~(product(e_1,e_2,e_1)), [~(product(e_1,e_1,e_1))], equalish( e_3,e_1) Gamma_111: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1))], product(e_3,e_1,e_3), ~(product(e_2,e_2,e_3)), product( e_1,e_2,e_3), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_112: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1)), product(e_3,e_1,e_3), ~(product(e_2,e_2,e_3)), [product( e_1,e_2,e_3)], equalish(e_3,e_1), ~(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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1))], product(e_3,e_1,e_3), ~(product(e_2,e_2,e_3)), equalish( e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_114: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1)), product(e_3,e_1,e_3), ~(product(e_2,e_2,e_3)), [equalish( e_3,e_1)], ~(group_element(e_2)), ~(group_element(e_1)) Gamma_115: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1))], product(e_3,e_1,e_3), ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_117: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_3,e_3)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_118: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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: [group_element(e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 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_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), [~(group_element(e_1))] Gamma_119: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,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_1,e_3))] 17: ~(product(e_3,e_3,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: [~(equalish(e_3,e_1))] 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 22: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 23: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_120: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 15: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), ~( group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_121: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), ~( group_element(e_2)), [~(group_element(e_1))] 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_122: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(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_3,e_3)), ~(product(e_3,e_2,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_1,e_3))] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_2), [~(product(e_1,e_3,e_2))] 21: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 22: ~(product(e_2,e_2,e_3)), product(e_1,e_2,e_3), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_123: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_124: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) Gamma_125: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] Gamma_126: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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_127: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: [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_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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: [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)) 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] Gamma_129: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 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_130: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_131: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_132: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [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_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] Gamma_133: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [product(e_2,e_1, e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), product( e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_135: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [product( e_2,e_1,e_1)], ~(group_element(e_2)), ~(group_element(e_1)) Gamma_136: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [product( e_2,e_1,e_1)], ~(group_element(e_2)), ~(group_element(e_1)) 24: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) Gamma_137: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 24: product(e_3,e_2,e_3), product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [product( e_2,e_1,e_1)], ~(group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 24: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: 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)) 21: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 22: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 24: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: 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)) 22: product(e_3,e_2,e_3), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))] 23: product(e_3,e_2,e_2), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_2))] 24: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) Gamma_142: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) Gamma_143: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_144: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] Gamma_145: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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)) Gamma_146: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 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: [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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 27: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_148: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: [product(e_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_149: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_3,e_3,e_3)), [product(e_1,e_3,e_2)], product(e_1,e_3, e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_150: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_3,e_3,e_3)), [product(e_1,e_3,e_2)], product(e_1,e_3, e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_151: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_3,e_3,e_3)), [product(e_1,e_3,e_2)], product(e_1,e_3, e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 28: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) Gamma_152: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_3,e_3,e_3)), [product(e_1,e_3,e_2)], product(e_1,e_3, e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_153: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_3,e_1)), product(e_1, e_3,e_1), product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) Gamma_154: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_1)], product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) Gamma_155: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_1)], product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 29: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_156: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] 29: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_1)], product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) Gamma_157: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] 29: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_3,e_1)), product(e_2, e_1,e_1), product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) Gamma_158: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] 29: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_1)], product(e_1,e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) Gamma_159: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] 29: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_3,e_1)), product(e_1, e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_160: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: [group_element(e_1)] 20: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(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_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 27: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 28: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] 29: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] Gamma_161: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: [group_element(e_1)] 21: product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(product(e_3,e_1,e_2))], ~( product(e_2,e_3,e_1)), equalish(e_3,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 22: product(e_3,e_2,e_3), product(e_3,e_2,e_2), 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_1), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 24: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 25: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_2, e_1)] 26: [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)) 27: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 29: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_162: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_3,e_1)), product(e_1, e_2,e_1), equalish(e_3,e_1), ~(group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_163: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_1)], equalish(e_3,e_1), ~(group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_164: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_165: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [equalish( e_3,e_1)], ~(group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_166: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), ~( group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_167: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_168: (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))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 11: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(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_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_2,e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 20: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_3,e_1)), product(e_1,e_2, e_1), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], equalish(e_3, e_1) 22: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) 23: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], product(e_1, e_2,e_1) 24: ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), [~(product(e_1,e_3,e_1))] Gamma_169: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 11: [~(product(e_3,e_3,e_3))], ~(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_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [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_1,e_3))] 15: [~(equalish(e_3,e_1))] 16: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 18: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_170: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 11: ~(product(e_3,e_3,e_3)), ~(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_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [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_1,e_3))] 15: [~(equalish(e_3,e_1))] 16: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 18: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_171: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 11: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [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_1,e_3))] 15: [~(equalish(e_3,e_1))] 16: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 18: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_172: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(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_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [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_1,e_3))] 15: [~(equalish(e_3,e_1))] 16: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 18: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_173: (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))], ~(group_element(e_2)) 6: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~( group_element(e_3)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_3))], ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [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_1,e_3))] 15: [~(equalish(e_3,e_1))] 16: ~(product(e_3,e_2,e_1)), product(e_3,e_1,e_3), [~(product(e_1,e_2,e_3))] 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 18: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_174: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) 6: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 12: [~(equalish(e_3,e_1))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_175: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) 6: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 12: [~(equalish(e_3,e_1))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_176: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) 6: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 12: [~(equalish(e_3,e_1))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_177: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) 6: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 12: [~(equalish(e_3,e_1))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_178: (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_2,e_3), [~(product(e_3,e_2,e_2))], ~(group_element(e_2)) 7: ~(product(e_3,e_3,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_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 12: [~(equalish(e_3,e_1))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_179: (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_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 10: [~(equalish(e_3,e_1))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_180: (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_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 10: [~(equalish(e_3,e_1))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_181: (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_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_3))] 10: [~(equalish(e_3,e_1))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_1) Gamma_182: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [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)) Gamma_188: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [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_3,e_3), [~(product(e_3,e_2,e_3))] Gamma_189: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 10: [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_190: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 10: 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)) Gamma_191: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 10: 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)) Gamma_192: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 10: 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)) 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_193: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_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)) Gamma_194: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3)], ~(product(e_3,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_195: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,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_196: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] Gamma_197: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 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)) Gamma_198: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 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_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] Gamma_199: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: [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_200: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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_201: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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_202: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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_203: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] Gamma_204: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [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)) Gamma_205: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [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_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_206: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: [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_207: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: product(e_3,e_3,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_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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: product(e_3,e_3,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_209: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: product(e_3,e_3,e_3), [product(e_3,e_1,e_2)], product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_210: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,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_211: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_1, e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_213: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_214: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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)] Gamma_215: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_216: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) Gamma_217: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_218: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] Gamma_219: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] Gamma_220: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) Gamma_221: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 28: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 27: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 28: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 29: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 27: ~(product(e_1,e_2,e_1)), [product(e_1,e_1,e_1)] 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 26: ~(product(e_2,e_3,e_1)), ~(product(e_1,e_3,e_2)), [product(e_1, e_2,e_1)] 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_3,e_2)), equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 25: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 26: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) Gamma_229: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 25: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_3)), [product(e_1, e_3,e_2)] 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_2)], ~(product(e_1,e_3,e_2)) 29: [product(e_2,e_2,e_2)], ~(product(e_2,e_1,e_2)) Gamma_230: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 25: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), ~( product(e_1,e_3,e_3)), equalish(e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_231: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_232: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: [product(e_1,e_3,e_3)], product(e_1,e_3,e_2), product(e_1,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_233: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product( e_1,e_3,e_2)], product(e_1,e_3,e_1), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_234: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), [product(e_1,e_3,e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_235: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), [product(e_1,e_3,e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_1,e_3,e_1)), [product(e_1,e_1,e_1)] Gamma_236: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), [product(e_1,e_3,e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) Gamma_237: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), [product(e_1,e_3,e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) Gamma_238: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), [product(e_1,e_3,e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_239: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), product( e_1,e_3,e_2), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_240: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product( e_1,e_3,e_2)], equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_241: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [product( e_1,e_3,e_2)], equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_242: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_243: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(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_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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 24: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 25: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 26: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_244: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 20: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_1, e_1)], equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(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_3,e_2)), ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~( product(e_1,e_3,e_3))], equalish(e_3,e_1) 25: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_3,e_1))], equalish(e_3, e_1) 26: ~(product(e_3,e_1,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_3,e_2))], equalish( e_3,e_1) 27: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_2,e_1))], equalish(e_3, e_1) 28: ~(product(e_3,e_1,e_1)), [~(product(e_1,e_1,e_1))], equalish(e_3, e_1) Gamma_245: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 20: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 21: [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_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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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: [group_element(e_1)] 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 20: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 21: [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_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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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_3,e_3), ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 17: [group_element(e_1)] 18: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_1))], ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 21: [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_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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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_3,e_3), ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 17: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)) 18: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: ~(product(e_3,e_3,e_2)), 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)) 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_3,e_3), ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 17: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 18: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 15: ~(product(e_3,e_3,e_2)), 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)) 16: [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)) 17: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), ~(product(e_2,e_3,e_1)), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_1))] 18: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 15: 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_2), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_2)) 16: [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)) 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) 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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 15: 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_2), equalish(e_3,e_1), ~(group_element(e_3)), ~( group_element(e_2)) 16: [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)) 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_253: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 15: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_2,e_3, e_2), equalish(e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [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)) 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_254: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 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_3,e_3), ~(product(e_3,e_3,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)), [equalish(e_1,e_1)] 13: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 15: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3, e_2), equalish(e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 16: [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)) 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_255: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 9: [group_element(e_2)] 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(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_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 14: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 15: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 16: [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)) 17: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 18: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_256: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(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_2,e_3, e_2), equalish(e_3,e_1), ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_257: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(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_2,e_3,e_2), [equalish( e_3,e_1)], ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_258: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(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_2,e_3, e_2), ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_259: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(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_2,e_3, e_2)], ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_260: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 9: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_261: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~( group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_262: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 9: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_263: (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_2,e_3,e_2))], equalish(e_3,e_2) 5: [~(equalish(e_3,e_1))] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_264: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 8: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), product(e_2,e_3,e_2), equalish( e_3,e_1), ~(group_element(e_3)), [~(group_element(e_2))] 10: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), product(e_3,e_2,e_3), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_1))], equalish( e_3,e_1), ~(group_element(e_3)) 14: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_1,e_2))], equalish(e_3, e_1) Gamma_265: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_266: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_267: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_268: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] Gamma_269: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] Gamma_270: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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_271: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] Gamma_272: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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_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_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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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)) 15: ~(product(e_3,e_3,e_1)), ~(product(e_2,e_3,e_3)), [product(e_2, e_3,e_1)] Gamma_274: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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)) 15: ~(product(e_3,e_3,e_1)), ~(product(e_2,e_3,e_3)), [product(e_2, e_3,e_1)] 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_275: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_1)), ~(product(e_2,e_3,e_3)), [product(e_2, e_3,e_1)] Gamma_276: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_1))], ~(product(e_2,e_3,e_3)), equalish(e_3, e_2) Gamma_277: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: [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)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_278: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: [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)) 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_279: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(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)) 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_280: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(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)) 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_281: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: ~(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)) Gamma_282: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_1))], product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_283: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: [group_element(e_2)] 12: 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)) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] Gamma_284: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [group_element(e_2)] 13: 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)) 14: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_285: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), 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_2), equalish(e_3,e_2), ~( group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_286: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), 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_2)], equalish(e_3,e_2), ~( group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, 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_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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [~(product(e_3,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, 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_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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_2)], ~(group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_289: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_290: (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_2,e_3,e_2))], equalish(e_3,e_2) 6: [~(equalish(e_3,e_1))] 7: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 9: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_291: (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_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_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] 10: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: ~(product(e_3,e_3,e_1)), product(e_2,e_3,e_2), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(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_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_292: (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_1))], ~(group_element(e_3)) 4: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_293: (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_1))], ~(group_element(e_3)) 4: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_294: (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_1))], ~(group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] 6: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_295: (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_1))], ~(group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] 6: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_296: (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_1))], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 7: [~(equalish(e_3,e_1))] 8: product(e_3,e_3,e_3), [~(product(e_3,e_2,e_3))] 9: product(e_3,e_3,e_3), [~(product(e_3,e_1,e_3))] Gamma_297: (resolve) 0: [~(group_element(e_3))] 1: [] 2: [~(equalish(e_3,e_2))] 3: [~(product(e_2,e_3,e_2))], equalish(e_3,e_2) 4: [~(equalish(e_3,e_1))] SZS status Unsatisfiable