%---------------- 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: [greater(e_3,e_2)] Gamma_4: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] Gamma_5: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] Gamma_7: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] Gamma_8: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] Gamma_9: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] Gamma_10: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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_11: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_12: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_13: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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_14: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [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_15: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_16: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_17: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: [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)) 17: [~(equalish(e_3,e_2))] Gamma_18: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 14: [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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 17: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_19: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_3)) 14: [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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 17: [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_20: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: [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)) 11: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 14: [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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 17: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_21: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [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)) 12: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 13: [~(equalish(e_3,e_2))] 14: [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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 17: [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: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: [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_23: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: [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_24: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: [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)) 17: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] Gamma_25: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 17: [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_26: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_27: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_28: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 18: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_29: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: [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)) 14: [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)) 15: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 18: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 19: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) Gamma_30: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_31: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_32: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_33: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 20: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) Gamma_34: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 17: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_35: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_36: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: [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)) 16: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_37: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_38: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: ~(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)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_39: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: ~(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)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_40: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: ~(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)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 21: ~(product2(e_3,e_2,e_2)), ~(product2(e_2,e_2,e_2)), [equalish(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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: ~(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)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 21: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: ~(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)) 15: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 16: ~(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)) 17: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: 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)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 21: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_43: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: ~(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)) 16: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 19: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 20: 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)) 21: [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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: ~(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)) 16: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 19: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 20: 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)) 21: [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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: ~(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)) 16: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 19: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 20: 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)) 21: [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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: ~(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)) 16: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 17: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 19: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 20: 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)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 22: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_47: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 17: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 18: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,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_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)) 22: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_48: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: [~(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)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_49: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_50: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_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)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_51: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_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)) 19: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_52: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_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)) 19: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_53: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_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)) 19: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 20: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_54: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_55: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: [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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_56: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_57: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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)) Gamma_58: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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)], ~(product1(e_3,e_2,e_3)) Gamma_59: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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)], ~(product1(e_3,e_2,e_3)) 23: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 23: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_61: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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_3)), [~(product2(e_3,e_3,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) Gamma_62: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), 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_3)), [~(product2(e_3,e_3,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) Gamma_63: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: [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)) 23: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_64: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_65: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_66: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 22: ~(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)) 23: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], 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)) Gamma_67: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_68: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: [~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_69: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_70: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] Gamma_71: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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_72: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] Gamma_73: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] Gamma_74: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: [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_75: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: [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)) 30: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_76: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: [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_77: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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_78: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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_79: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] Gamma_80: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] Gamma_81: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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_82: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: [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_83: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: [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)) 35: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) Gamma_84: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: [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_85: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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_86: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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_87: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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_88: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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)) 37: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_89: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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)) 37: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), 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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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)) 37: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 38: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_91: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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)) 37: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 38: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_92: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: [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)) 37: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 38: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_93: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: [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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_94: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_95: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_96: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_97: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 40: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_98: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 40: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) 41: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] Gamma_99: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: [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)) 41: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_100: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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_101: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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_102: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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)) 41: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_103: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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)) 41: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_104: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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)) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_105: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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)) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_106: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: 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)) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_107: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_108: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: [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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_109: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_110: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_111: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_112: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) 45: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), 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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 45: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_114: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 45: ~(product2(e_1,e_2,e_1)), [~(product1(e_3,e_1,e_2))], ~(product1(e_2,e_1,e_1)), equalish( e_3,e_2) Gamma_115: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) 45: [~(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_116: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [~(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) 44: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 45: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_117: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [~(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) 44: ~(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_118: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: 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)) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [~(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) 44: ~(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_119: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(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) 42: 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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 44: [~(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_120: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(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) 42: [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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(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) 42: [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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_122: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(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) 42: [~(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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_123: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 39: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(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) 42: ~(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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_124: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 41: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 42: ~(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) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_125: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_126: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_127: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_128: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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_129: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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)) 44: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_130: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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)) 44: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_131: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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)) 44: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 45: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_132: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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)) 44: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 45: ~(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_133: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: [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)) 44: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 45: ~(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_134: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: [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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_135: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_136: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_137: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 46: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_138: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 46: ~(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_139: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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)) 45: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) 46: ~(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_140: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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) 45: ~(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)) 46: ~(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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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) 45: [~(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)) 46: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_142: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 43: ~(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) 44: ~(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) 45: [~(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)) 46: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_143: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [~(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)) 43: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 44: ~(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) 45: ~(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) 46: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_144: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [~(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)) 43: [~(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_145: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [~(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)) 43: ~(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_146: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [~(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)) 43: ~(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_147: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 40: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 42: [~(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)) 43: ~(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_148: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(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)) 39: ~(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)) 40: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) 43: [~(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_149: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(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)) 39: [~(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)) 40: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_150: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: [group_element(e_1)] 26: [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)) 27: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 29: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 30: ~(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)) 31: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 33: [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)) 34: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 35: ~(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)) 36: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 37: ~(product2(e_3,e_2,e_1)), ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 38: ~(product2(e_3,e_2,e_1)), [~(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)) 39: ~(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))] 40: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_151: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: ~(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))] 26: [group_element(e_1)] 27: [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)) 28: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 29: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 30: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 31: ~(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)) 32: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 33: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 34: [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)) 35: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 36: ~(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)) 37: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 38: ~(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)) 39: ~(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)) 40: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 41: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 42: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_152: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: ~(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))] 26: [~(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)) 27: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 28: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 29: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_153: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 25: ~(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))] 26: ~(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)) 27: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 28: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 29: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_154: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 17: ~(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)) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(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))] 27: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 28: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 29: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_155: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 27: ~(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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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)), [equalish(e_3,e_2)], ~(group_element(e_3)), ~( group_element(e_2)) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_157: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_158: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(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)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 16: ~(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)) 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_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_159: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product2(e_3,e_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)) 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 17: ~(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)) 18: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 19: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 20: 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)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 22: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 24: ~(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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 26: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_160: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_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)) 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_161: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: [group_element(e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product2(e_3,e_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))] 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_162: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: ~(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))] 10: [group_element(e_2)] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: ~(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)) 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 19: 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)) 20: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 21: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 23: ~(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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], 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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: ~(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))] 10: [~(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)) 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], 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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: [group_element(e_3)] 9: ~(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))] 10: ~(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))] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], 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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 9: [group_element(e_3)] 10: ~(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))] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_166: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 9: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)) 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 9: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(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: ~(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: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [next(e_2,e_3)] 8: [next(e_1,e_2)] 9: ~(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))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_169: (right-split) 0: [product2(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: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [next(e_2,e_3)] 9: [next(e_1,e_2)] 10: ~(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))] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_170: (right-split) 0: [product2(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: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [next(e_2,e_3)] 9: [next(e_1,e_2)] 10: ~(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))] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_171: (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: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [next(e_2,e_3)] 9: [next(e_1,e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_172: (extend-conflict) 0: [product2(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: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [next(e_2,e_3)] 9: [next(e_1,e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_173: (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: [greater(e_3,e_2)] 6: [greater(e_3,e_1)] 7: [greater(e_2,e_1)] 8: [next(e_2,e_3)] 9: [next(e_1,e_2)] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 11: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 14: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 17: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 18: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 19: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 20: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_174: (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: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [next(e_2,e_3)] 10: [next(e_1,e_2)] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(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(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: [greater(e_3,e_2)] 7: [greater(e_3,e_1)] 8: [greater(e_2,e_1)] 9: [next(e_2,e_3)] 10: [next(e_1,e_2)] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 12: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 15: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 18: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 19: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 20: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 21: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_176: (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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_177: (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: [greater(e_3,e_2)] 4: [greater(e_3,e_1)] 5: [greater(e_2,e_1)] 6: [next(e_2,e_3)] 7: [next(e_1,e_2)] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_178: (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: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [next(e_2,e_3)] 8: [next(e_1,e_2)] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 10: [~(equalish(e_3,e_2))] 11: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_179: (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: [greater(e_3,e_2)] 5: [greater(e_3,e_1)] 6: [greater(e_2,e_1)] 7: [next(e_2,e_3)] 8: [next(e_1,e_2)] 9: [~(equalish(e_3,e_2))] SZS status Unsatisfiable