%---------------- 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: [cycle(e_3,e_0)] Gamma_4: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] Gamma_6: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] Gamma_7: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] Gamma_8: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] Gamma_9: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] Gamma_10: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] Gamma_12: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] Gamma_13: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] Gamma_14: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] Gamma_15: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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_16: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_17: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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_19: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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)) 19: [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_20: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_21: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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_22: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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)) 22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_23: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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)) 22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 23: [~(equalish(e_3,e_2))] Gamma_24: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 19: [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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: [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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_25: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: [~(equalish(e_3,e_2))] 18: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_3)) 19: [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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: [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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_26: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: [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)) 16: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 19: [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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: [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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_27: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [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)) 17: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 18: [~(equalish(e_3,e_2))] 19: [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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: [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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_28: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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)) 22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_29: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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)) 22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_30: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: [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)) 22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] Gamma_31: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: [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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_32: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: 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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) Gamma_33: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: 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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: 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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 24: [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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: [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)) 19: [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)) 20: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: 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)) 23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 24: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) Gamma_36: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_37: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_38: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_39: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 26: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) Gamma_40: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 22: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_41: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 22: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_42: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: [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)) 21: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 22: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_43: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: [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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_44: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: ~(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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_45: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: ~(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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_46: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: ~(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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 27: ~(product2(e_3,e_2,e_2)), ~(product2(e_2,e_2,e_2)), [equalish(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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: ~(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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 27: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: ~(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)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: ~(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)) 20: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 21: ~(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)) 22: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 27: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_49: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: ~(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)) 21: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 24: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [product2(e_2,e_2,e_3)], ~(product1(e_2,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: ~(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)) 21: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 24: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [product2(e_2,e_2,e_3)], ~(product1(e_2,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: ~(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)) 21: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 24: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_52: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: ~(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)) 21: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 24: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 28: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_53: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 23: ~(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)) 24: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 25: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 26: 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)) 27: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 28: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_54: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: [~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_55: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_56: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_57: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 26: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_58: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 26: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_59: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: 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)) 24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 25: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 26: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_60: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_61: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: [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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_62: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_63: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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_64: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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)) 28: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_65: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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)) 28: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 29: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_66: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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)) 28: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 29: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_67: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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)) 28: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 29: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_68: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: [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)) 28: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 29: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_69: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: [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)) 29: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_70: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: ~(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)) 29: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_71: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: ~(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)) 29: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_72: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: ~(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)) 29: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 30: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) Gamma_73: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_74: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: [~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_76: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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_78: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] Gamma_79: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] Gamma_80: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: [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_81: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: [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)) 36: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_82: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: [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_83: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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_84: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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_85: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] Gamma_86: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] Gamma_87: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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_88: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: [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_89: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: [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)) 41: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) Gamma_90: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: [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_91: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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_92: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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_93: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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_94: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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)) 43: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_95: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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)) 43: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_96: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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)) 43: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 44: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_97: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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)) 43: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 44: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: [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)) 43: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 44: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: [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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_100: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_101: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_102: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: [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_103: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: [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)) 46: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_104: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: [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)) 46: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) 47: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] Gamma_105: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: [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)) 47: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_106: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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_107: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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_108: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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)) 47: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_109: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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)) 47: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_110: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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)) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_111: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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)) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_112: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: 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)) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_113: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_114: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: [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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_115: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_116: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_117: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_118: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) 51: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 51: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_120: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 51: ~(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_121: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 51: [~(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_122: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [~(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) 50: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 51: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_123: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [~(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) 50: ~(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_124: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: 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)) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [~(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) 50: ~(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_125: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(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) 48: 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)) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 50: [~(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_126: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(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) 48: [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)) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_127: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(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) 48: [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)) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_128: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(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) 48: [~(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)) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_129: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 45: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(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) 48: ~(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)) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_130: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 47: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 48: ~(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) 49: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_131: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_132: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_133: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_134: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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_135: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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)) 50: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_136: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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)) 50: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_137: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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)) 50: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 51: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_138: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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)) 50: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 51: ~(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_139: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: [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)) 50: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 51: ~(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_140: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: [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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_141: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_142: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_143: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 52: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_144: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 52: ~(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_145: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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)) 51: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 52: ~(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_146: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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) 51: ~(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)) 52: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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) 51: [~(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)) 52: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 49: ~(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) 50: ~(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) 51: [~(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)) 52: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [~(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)) 49: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 50: ~(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) 51: ~(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) 52: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [~(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)) 49: [~(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_151: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [~(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)) 49: ~(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_152: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [~(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)) 49: ~(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_153: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 46: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 48: [~(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)) 49: ~(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_154: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: ~(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)) 46: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 49: [~(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_155: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: [~(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)) 46: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: [group_element(e_1)] 32: [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)) 33: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 35: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 39: [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)) 40: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 41: ~(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)) 42: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 43: ~(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)) 44: ~(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)) 45: ~(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))] 46: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: ~(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))] 32: [group_element(e_1)] 33: [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)) 34: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 35: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 36: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 39: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 40: [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)) 41: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 42: ~(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)) 43: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 44: ~(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)) 45: ~(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)) 46: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 47: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 48: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: ~(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))] 32: [~(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)) 33: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 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_159: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(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)) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 31: ~(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))] 32: ~(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)) 33: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 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_160: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,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)) 22: ~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(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))] 33: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 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_161: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,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)) 22: [~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], 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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,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)) 22: ~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_163: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,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)) 22: [~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_164: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,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)) 22: ~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_165: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: ~(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)) 19: [~(equalish(e_3,e_2))] 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 21: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(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)) 23: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 24: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 25: 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)) 26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 27: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 28: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 29: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 30: ~(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)) 31: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 32: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 33: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_166: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: [~(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)) 19: [~(equalish(e_3,e_2))] 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 21: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(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: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: [group_element(e_2)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: ~(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)) 18: ~(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))] 19: [~(equalish(e_3,e_2))] 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 21: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_168: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: ~(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))] 15: [group_element(e_2)] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: ~(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)) 19: [~(equalish(e_3,e_2))] 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 21: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 23: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 24: 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)) 25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2)) 26: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 27: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 28: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 29: ~(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)) 30: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_169: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: ~(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))] 15: [~(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)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_170: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: [group_element(e_3)] 14: ~(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))] 15: ~(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))] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_171: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: ~(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))] 14: [group_element(e_3)] 15: ~(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))] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_172: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: ~(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))] 14: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_173: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: ~(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))] 14: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_174: (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: [cycle(e_3,e_0)] 5: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [greater(e_3,e_0)] 9: [greater(e_2,e_0)] 10: [greater(e_1,e_0)] 11: [next(e_2,e_3)] 12: [next(e_1,e_2)] 13: [next(e_0,e_1)] 14: ~(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))] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_175: (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: [cycle(e_3,e_0)] 6: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [greater(e_3,e_0)] 10: [greater(e_2,e_0)] 11: [greater(e_1,e_0)] 12: [next(e_2,e_3)] 13: [next(e_1,e_2)] 14: [next(e_0,e_1)] 15: ~(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))] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_176: (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: [cycle(e_3,e_0)] 6: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [greater(e_3,e_0)] 10: [greater(e_2,e_0)] 11: [greater(e_1,e_0)] 12: [next(e_2,e_3)] 13: [next(e_1,e_2)] 14: [next(e_0,e_1)] 15: ~(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))] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_177: (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: [cycle(e_3,e_0)] 6: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [greater(e_3,e_0)] 10: [greater(e_2,e_0)] 11: [greater(e_1,e_0)] 12: [next(e_2,e_3)] 13: [next(e_1,e_2)] 14: [next(e_0,e_1)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_178: (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: [cycle(e_3,e_0)] 6: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [greater(e_3,e_0)] 10: [greater(e_2,e_0)] 11: [greater(e_1,e_0)] 12: [next(e_2,e_3)] 13: [next(e_1,e_2)] 14: [next(e_0,e_1)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_179: (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: [cycle(e_3,e_0)] 6: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [greater(e_3,e_0)] 10: [greater(e_2,e_0)] 11: [greater(e_1,e_0)] 12: [next(e_2,e_3)] 13: [next(e_1,e_2)] 14: [next(e_0,e_1)] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 16: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 17: [~(equalish(e_3,e_2))] 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 19: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 21: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_180: (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: [cycle(e_3,e_0)] 7: [greater(e_3,e_2)] 8: [greater(e_3,e_1)] 9: [greater(e_2,e_1)] 10: [greater(e_3,e_0)] 11: [greater(e_2,e_0)] 12: [greater(e_1,e_0)] 13: [next(e_2,e_3)] 14: [next(e_1,e_2)] 15: [next(e_0,e_1)] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_181: (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: [cycle(e_3,e_0)] 7: [greater(e_3,e_2)] 8: [greater(e_3,e_1)] 9: [greater(e_2,e_1)] 10: [greater(e_3,e_0)] 11: [greater(e_2,e_0)] 12: [greater(e_1,e_0)] 13: [next(e_2,e_3)] 14: [next(e_1,e_2)] 15: [next(e_0,e_1)] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 17: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 18: [~(equalish(e_3,e_2))] 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 20: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 22: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 23: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_182: (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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 14: [~(equalish(e_3,e_2))] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_183: (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: [cycle(e_3,e_0)] 4: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [greater(e_3,e_0)] 8: [greater(e_2,e_0)] 9: [greater(e_1,e_0)] 10: [next(e_2,e_3)] 11: [next(e_1,e_2)] 12: [next(e_0,e_1)] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 14: [~(equalish(e_3,e_2))] 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 17: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_184: (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: [cycle(e_3,e_0)] 5: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [greater(e_3,e_0)] 9: [greater(e_2,e_0)] 10: [greater(e_1,e_0)] 11: [next(e_2,e_3)] 12: [next(e_1,e_2)] 13: [next(e_0,e_1)] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 15: [~(equalish(e_3,e_2))] 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 17: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_185: (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: [cycle(e_3,e_0)] 5: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [greater(e_3,e_0)] 9: [greater(e_2,e_0)] 10: [greater(e_1,e_0)] 11: [next(e_2,e_3)] 12: [next(e_1,e_2)] 13: [next(e_0,e_1)] 14: [~(equalish(e_3,e_2))] SZS status Unsatisfiable