%---------------- 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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) Gamma_10: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_11: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: [~(equalish(e_3,e_2))] Gamma_12: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 11: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_13: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 11: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_14: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 11: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_15: (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_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 11: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_16: (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)) Gamma_17: (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)) Gamma_18: (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_3,e_3))] Gamma_19: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_20: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_21: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_22: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] Gamma_23: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_24: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_25: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 11: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_26: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_27: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_28: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_29: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_3,e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_30: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_31: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_32: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_33: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_34: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_35: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] Gamma_36: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,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_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] Gamma_38: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 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)) Gamma_39: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 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_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_40: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: product(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_41: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)], product(e_2,e_2, e_1), equalish(e_3,e_2), ~(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_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(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_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] Gamma_44: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] Gamma_45: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 20: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] Gamma_46: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 20: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_47: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 19: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 20: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 21: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] Gamma_48: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), product(e_2, e_2,e_3), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_49: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_2,e_3)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_50: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_3,e_1)), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_51: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 14: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 15: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_52: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 15: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 16: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 17: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_53: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_54: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_55: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_56: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [equalish( e_3,e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_57: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_58: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_59: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))] 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_60: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] Gamma_61: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) Gamma_66: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_67: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_68: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_69: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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_70: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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_71: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] Gamma_72: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_74: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_2)], ~(product(e_2,e_2,e_3)) Gamma_75: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_2)], ~(product(e_2,e_2,e_3)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_76: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_3,e_2))], product(e_2, e_3,e_3) 16: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_77: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,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_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 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_3) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 18: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] Gamma_84: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 18: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_85: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 19: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] Gamma_86: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(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_3) Gamma_87: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(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_3) Gamma_88: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(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_3) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(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_3) 18: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 19: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 17: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), ~(product(e_2,e_3,e_2)), equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_92: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 11: ~(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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_93: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_94: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), product(e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_95: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_96: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_97: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) Gamma_98: (extend-no-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_99: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 19: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_100: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_101: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 19: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), product(e_2, e_2,e_1) Gamma_102: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_2, e_2,e_1)] Gamma_103: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 19: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_2) Gamma_104: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_105: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_106: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_107: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [equalish(e_3, e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_110: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_111: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 9: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_112: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_2,e_1)), [equalish(e_2,e_2)] 10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 11: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_113: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_116: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_117: (move) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 4: [group_element(e_2)] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_118: (resolve) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_119: (extend-conflict) 0: [group_element(e_3)] 1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 3: ~(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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_120: (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_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_121: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] Gamma_122: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] Gamma_123: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_124: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] Gamma_125: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] Gamma_126: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] Gamma_127: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_128: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_129: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, 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_130: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_131: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_132: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_133: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_134: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_135: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_136: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] Gamma_137: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_138: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) Gamma_139: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_140: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 15: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] Gamma_141: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 15: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] Gamma_142: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 15: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_143: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 16: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 17: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] Gamma_144: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_145: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_146: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] Gamma_147: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] Gamma_148: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 16: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_149: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] Gamma_150: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_151: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_152: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_153: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) Gamma_154: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_155: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) Gamma_156: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 19: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) Gamma_157: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 19: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] Gamma_158: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 19: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] Gamma_159: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 19: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_160: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 19: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 20: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_161: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 20: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 21: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 23: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_162: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_163: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 18: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_164: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_165: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 18: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_166: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 18: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_167: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 18: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_168: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_169: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_170: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), 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_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_171: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_172: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: [group_element(e_2)] 8: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_173: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 8: [group_element(e_2)] 9: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_174: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 8: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)) 9: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_175: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 5: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 9: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_176: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 5: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 6: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 7: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 8: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_177: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 5: [~(product(e_3,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_3)) 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_178: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 5: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~(group_element(e_3)) 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_179: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 5: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_180: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 3: [~(equalish(e_3,e_2))] 4: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 5: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 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_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 6: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 7: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] Gamma_184: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] Gamma_185: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] Gamma_186: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] Gamma_188: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_189: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] Gamma_190: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_191: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] Gamma_192: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_193: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_194: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_195: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] Gamma_196: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: 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_197: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_198: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) Gamma_199: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_3)] Gamma_200: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_3)] 15: ~(product(e_3,e_2,e_3)), [product(e_3,e_1,e_2)], ~(product(e_2,e_3,e_1)) Gamma_201: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_3)] 15: ~(product(e_3,e_2,e_3)), [product(e_3,e_1,e_2)], ~(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_202: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_1)), [product(e_1, e_3,e_3)] 16: ~(product(e_3,e_2,e_3)), [product(e_3,e_1,e_2)], ~(product(e_2,e_3,e_1)) Gamma_203: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), product( e_2,e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_204: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product( e_2,e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_205: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_206: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 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_2,e_3)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_3)), [~(product(e_2,e_3,e_3))] 12: ~(product(e_3,e_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_207: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product(e_3,e_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)) 11: ~(product(e_3,e_2,e_3)), [equalish(e_2,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_2,e_3)), product(e_2,e_3,e_3), [~(product(e_2,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_208: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_209: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_210: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] Gamma_211: (extend-no-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: [product(e_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_212: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: [product(e_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_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] Gamma_213: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(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_214: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] Gamma_217: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_218: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] Gamma_219: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2), [~(product(e_2,e_2,e_3))] 16: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2)) Gamma_220: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2), [~(product(e_2,e_2,e_3))] 16: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] Gamma_221: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 15: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [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_2), [~(product(e_2,e_2,e_3))] Gamma_222: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 15: product(e_3,e_3,e_2), [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_2)), product( e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_223: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 15: product(e_3,e_3,e_2), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_224: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 15: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), ~(product(e_3,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_225: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 15: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_226: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_2)), [equalish(e_2,e_2)] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 15: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_227: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), product(e_3,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_228: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [product(e_3,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_229: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [product(e_3,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 13: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_230: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [product(e_3,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_231: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_232: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_234: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_235: (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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: [group_element(e_2)] 10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))], equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), product(e_3,e_2, e_3), [~(product(e_3,e_2,e_2))], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 14: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] 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))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [equalish(e_3,e_2)], ~( group_element(e_3)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_238: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_239: (extend-conflict) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 6: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 7: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 9: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_240: (move) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 4: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 7: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 8: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 9: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 12: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_241: (resolve) 0: [group_element(e_3)] 1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 2: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 4: product(e_3,e_3,e_2), [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] 6: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_242: (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))], ~(group_element(e_3)) 3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 4: [product(e_3,e_3,e_2)], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_243: (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))], ~(group_element(e_3)) 3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] 6: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_244: (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))], ~(group_element(e_3)) 3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 4: [~(group_element(e_3))] 5: [~(equalish(e_3,e_2))] 6: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_245: (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_2))], ~(group_element(e_3)) 4: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 5: [~(equalish(e_3,e_2))] 6: product(e_3,e_3,e_2), [~(product(e_2,e_2,e_3))] Gamma_246: (resolve) 0: [~(group_element(e_3))] 1: [] 2: [~(equalish(e_3,e_2))] SZS status Unsatisfiable