%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [product2(X0,X0,X0)] Gamma_1: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] Gamma_2: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] Gamma_3: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] Gamma_4: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] Gamma_5: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_6: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_7: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_8: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_9: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_10: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_11: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_12: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] Gamma_13: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_14: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_3)) 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_15: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_16: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_17: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_18: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_19: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] Gamma_20: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_21: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_22: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_23: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_24: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) Gamma_25: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_26: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_27: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_28: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 15: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) Gamma_29: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_30: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_31: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_32: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_33: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_34: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_35: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 16: ~(product2(e_3,e_2,e_2)), ~(product2(e_2,e_2,e_2)), [equalish(e_3, e_2)] Gamma_36: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_37: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 11: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_38: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_39: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(product2(e_3,e_3,e_3))], product2(e_3,e_2,e_1), ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_40: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_41: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 17: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_42: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_43: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: [~(product2(e_3,e_3,e_3))], product2(e_2,e_3,e_1), ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_44: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_45: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_46: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_47: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_48: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_49: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_50: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: [product2(e_3,e_2,e_3)], ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), product1( e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_51: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_52: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_53: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_54: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_55: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 18: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_56: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_57: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_58: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_59: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_60: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_61: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) Gamma_62: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_63: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: [~(product2(e_3,e_3,e_3))], product2(e_2,e_3,e_2), product1(e_3, e_2,e_1), ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_64: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_65: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] Gamma_66: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_67: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] Gamma_68: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] Gamma_69: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: [product2(e_2,e_1,e_3)], product2(e_2,e_1,e_2), product2(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_70: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: [product2(e_2,e_1,e_3)], product2(e_2,e_1,e_2), product2(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 25: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_71: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: [product2(e_2,e_1,e_3)], product2(e_2,e_1,e_2), product2(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_72: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_73: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_74: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] Gamma_75: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] Gamma_76: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_77: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: [product2(e_1,e_2,e_3)], product2(e_1,e_2,e_2), product2(e_1,e_2, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_78: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: [product2(e_1,e_2,e_3)], product2(e_1,e_2,e_2), product2(e_1,e_2, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 30: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) Gamma_79: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: [product2(e_1,e_2,e_3)], product2(e_1,e_2,e_2), product2(e_1,e_2, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_80: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_81: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_82: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_83: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 32: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_84: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 32: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_85: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 32: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 33: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_86: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 32: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 33: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_87: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 32: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 33: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_88: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: [product1(e_3,e_1,e_3)], product1(e_3,e_1,e_2), product1(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_89: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_90: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_91: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_92: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 35: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_93: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 35: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) 36: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] Gamma_94: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_95: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_96: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_97: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_98: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_99: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_100: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_101: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_102: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_103: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: [product2(e_3,e_3,e_1)], ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), product1( e_2,e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_104: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_105: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_106: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_107: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) 40: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_108: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 40: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_109: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 40: ~(product2(e_1,e_2,e_1)), [~(product1(e_3,e_1,e_2))], ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) Gamma_110: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 40: [~(product2(e_1,e_2,e_1))], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) Gamma_111: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [~(product2(e_1,e_2,e_1))], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) 39: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 40: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_112: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [~(product2(e_1,e_2,e_1))], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) 39: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) Gamma_113: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [~(product2(e_1,e_2,e_1))], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) 39: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) Gamma_114: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 37: product2(e_3,e_3,e_1), ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), [product1( e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 39: [~(product2(e_1,e_2,e_1))], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) Gamma_115: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 37: [product2(e_3,e_3,e_1)], ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_116: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 37: [product2(e_3,e_3,e_1)], ~(product2(e_3,e_2,e_1)), ~(product1(e_3,e_1,e_2)), ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_117: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 37: [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_3,e_1)), ~(product1(e_3,e_1,e_2)), ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_118: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 33: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 34: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_119: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_2,e_3,e_1)), [product1(e_3,e_1,e_2)], product1(e_3, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 36: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 37: ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_120: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], product1( e_3,e_1,e_1), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_121: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_122: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_123: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_124: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 39: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_125: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 39: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_126: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 39: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 40: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_127: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 39: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 40: ~(product2(e_1,e_3,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_2,e_1,e_3)), equalish( e_3,e_2) Gamma_128: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 39: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 40: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_129: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_130: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [product1(e_2, e_1,e_2)], product1(e_2,e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_131: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), product1(e_2, e_1,e_2), [product1(e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_132: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), product1(e_2, e_1,e_2), [product1(e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 41: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_133: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), product1(e_2, e_1,e_2), [product1(e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 41: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) Gamma_134: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), product1(e_2, e_1,e_2), [product1(e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 40: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 41: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) Gamma_135: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 40: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), product1(e_2, e_1,e_2), [product1(e_2,e_1,e_1)], equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 41: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_136: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 40: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 41: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_137: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 38: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 39: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 40: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 41: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_138: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 38: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 39: ~(product2(e_1,e_3,e_1)), ~(product1(e_3,e_1,e_1)), [~(product1(e_2,e_1,e_3))], equalish( e_3,e_2) 40: ~(product2(e_1,e_3,e_1)), [~(product1(e_2,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2) 41: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_139: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 38: [~(product1(e_3,e_1,e_1))], product1(e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_140: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 38: ~(product1(e_3,e_1,e_1)), [product1(e_2,e_1,e_2)], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_141: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_142: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 35: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 37: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_143: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 34: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [product1(e_3, e_1,e_1)], ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 35: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 38: [~(product2(e_1,e_3,e_1))], ~(product1(e_3,e_1,e_1)), product1( e_2,e_1,e_2), ~(product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~( group_element(e_1)) Gamma_144: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 34: [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), ~(group_element(e_1)) 35: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_145: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: [group_element(e_1)] 21: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 22: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 24: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 25: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 28: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 29: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 30: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 31: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 34: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 35: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_146: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 21: [group_element(e_1)] 22: [product2(e_3,e_1,e_3)], product2(e_3,e_1,e_2), product2(e_3,e_1, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 23: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 24: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 25: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 26: ~(product2(e_3,e_1,e_3)), [product2(e_2,e_1,e_2)], product2(e_2, e_1,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 27: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 28: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 29: [product2(e_1,e_3,e_3)], product2(e_1,e_3,e_2), product2(e_1,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_1)) 30: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 31: ~(product2(e_1,e_3,e_3)), [product2(e_1,e_2,e_2)], product2(e_1, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 32: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 34: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 35: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 36: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_147: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 21: [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 22: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 23: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 24: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 25: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_148: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 20: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 21: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 22: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 23: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 24: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 25: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_149: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)), [~(group_element(e_1))] 22: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 23: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 24: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 25: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_150: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 22: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_151: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), [equalish(e_3,e_2)], ~(group_element(e_3)), ~( group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 22: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_152: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 22: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_153: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 22: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_154: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 19: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 21: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 22: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_155: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_156: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [group_element(e_2)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_157: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 18: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_158: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 5: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)) 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_159: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_160: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: [group_element(e_3)] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_161: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)) 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_162: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_163: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [product1(X0,X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_164: (right-split) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: top(X0) != e_1 & top(X0) != e_1 | [product1(e_1,e_1,e_1)] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_165: (right-split) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [product1(e_1,e_1,e_1)] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_166: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)) 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_167: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_168: (move) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [product2(X0,X0,X0)] 2: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_169: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: top(X0) != e_2 & top(X0) != e_2 | [product2(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_170: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [product2(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_171: (resolve) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 6: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 7: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_172: (extend-conflict) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 6: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 7: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_173: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_3 & top(X0) != e_3 | [product2(e_3,e_3,e_3)] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product2(X0, X0,X0)] 4: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 5: [~(equalish(e_3,e_2))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 7: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 8: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_174: (resolve) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: [] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product2(X0, X0,X0)] 4: [~(equalish(e_3,e_2))] SZS status Unsatisfiable