%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [product2(X0,X0,X0)] Gamma_1: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] Gamma_2: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] Gamma_3: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] Gamma_4: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) Gamma_5: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] Gamma_6: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_7: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_8: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_9: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_10: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_11: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_12: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_13: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( 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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( 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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) Gamma_16: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_17: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_18: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 18: [~(equalish(e_3,e_2))] Gamma_19: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_3, e_2)] 10: [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)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: [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)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_20: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [~(equalish(e_3,e_2))] 9: [~(product2(e_3,e_3,e_3))], ~(product2(e_3,e_2,e_3)) 10: [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)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: [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)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_21: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 10: [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)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: [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)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_22: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [product2(e_3,e_2,e_3)], product2(e_3,e_2,e_2), product2(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_2,e_3)), [equalish(e_2, e_3)] 9: [~(equalish(e_3,e_2))] 10: [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)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: [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)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_23: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_24: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_25: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: [product1(e_2,e_3,e_3)], product1(e_2,e_3,e_2), product1(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 13: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 14: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 16: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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))] Gamma_26: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: [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)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_27: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) Gamma_29: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 19: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_30: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: [product2(e_2,e_3,e_3)], product2(e_2,e_3,e_2), product2(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 10: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 15: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 17: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) Gamma_31: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [product2(e_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)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_32: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_33: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_34: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 21: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) Gamma_35: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_36: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_37: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product1(e_3,e_2,e_3)], product1(e_3,e_2,e_2), product1(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_38: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: [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)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_39: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_40: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_41: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 22: ~(product2(e_3,e_2,e_2)), ~(product2(e_2,e_2,e_2)), [equalish(e_3, e_2)] Gamma_42: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 22: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_43: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 12: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 22: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) Gamma_44: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_2)], product2(e_3, e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_45: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(product2(e_3,e_3,e_3))], product2(e_3,e_2,e_1), ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_46: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_47: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_2)], product2(e_2, e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 13: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,e_2)), equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 16: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 23: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_48: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_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)) 13: ~(product2(e_2,e_3,e_2)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: ~(product2(e_2,e_3,e_2)), [product1(e_3,e_2,e_2)], product1(e_3, e_2,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(product2(e_3,e_3,e_2))], ~(product2(e_2,e_3,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_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: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 21: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 22: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 23: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_49: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: [~(product2(e_3,e_3,e_3))], product2(e_2,e_3,e_1), ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_50: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_51: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 20: [product2(e_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_52: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_2,e_2,e_3)], ~(product1(e_2,e_3,e_2)) Gamma_53: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_54: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 16: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 18: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) Gamma_55: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [product1(e_2, e_3,e_2)], product1(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_56: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: [product2(e_3,e_2,e_3)], ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), product1( e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [~(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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 21: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_59: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_2)], ~(product1(e_3,e_2,e_3)) Gamma_60: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_2)], ~(product1(e_3,e_2,e_3)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_61: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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) 24: [product2(e_3,e_3,e_2)], ~(product1(e_3,e_2,e_3)) Gamma_62: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_63: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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) 24: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) Gamma_64: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) 24: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_65: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_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_66: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_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_67: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_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) 25: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) Gamma_68: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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)), [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)) 25: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_69: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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) Gamma_70: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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) Gamma_71: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_73: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)] Gamma_74: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)] Gamma_75: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_76: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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)) 31: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_77: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_78: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_79: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_80: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)] Gamma_81: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)] Gamma_82: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_83: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_84: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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)) 36: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) Gamma_85: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_86: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_87: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)) Gamma_88: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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_89: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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)], ~(product1(e_3,e_1,e_3)) Gamma_90: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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)], ~(product1(e_3,e_1,e_3)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_91: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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) 39: [product2(e_3,e_3,e_1)], ~(product1(e_3,e_1,e_3)) Gamma_92: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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) 39: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_93: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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) 39: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) Gamma_94: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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: [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)) 39: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) Gamma_95: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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) Gamma_96: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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) Gamma_97: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: [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_98: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: [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_99: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: [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)) 42: product2(e_3,e_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] Gamma_100: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: [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)) 42: [product2(e_2,e_2,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_3)) Gamma_101: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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_103: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_104: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_105: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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) 43: [product2(e_2,e_2,e_1)], ~(product1(e_2,e_1,e_2)) Gamma_106: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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) 43: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_107: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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) 43: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) Gamma_108: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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)) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_109: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: [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) Gamma_110: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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) Gamma_111: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_112: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 45: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_113: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 45: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) 46: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_114: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_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) 46: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_2)), ~(product1(e_2,e_1,e_1)) Gamma_115: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_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) 46: ~(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: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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_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) 46: [~(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_117: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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) 45: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 46: [~(product2(e_1,e_3,e_1))], ~(product2(e_1,e_2,e_1)), equalish( e_3,e_2) Gamma_118: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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) 45: ~(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: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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: 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) 45: ~(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_120: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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)) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,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_121: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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)) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_122: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_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)) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_123: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_3,e_1)), ~(product1(e_3,e_1,e_2)), ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_124: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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_3,e_1)), [~(product1(e_3,e_1,e_2))], ~( product1(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_125: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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)) 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_3,e_1), ~(product1(e_3,e_1,e_2)), [~(product1(e_2,e_1,e_3))] 42: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 43: ~(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) 44: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_126: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), [~(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) Gamma_127: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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) Gamma_128: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,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: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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)) Gamma_130: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_131: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) 46: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_132: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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) 46: [product2(e_1,e_2,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_2,e_1,e_3)) Gamma_133: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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) 46: ~(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: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_1,e_1,e_1)) 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) 46: ~(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_135: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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: [product1(e_2,e_1,e_3)], product1(e_2,e_1,e_2), product1(e_2,e_1, e_1), ~(group_element(e_2)), ~(group_element(e_1)) 46: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_136: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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_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_137: (extend-no-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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_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_138: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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_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) 47: [product2(e_1,e_2,e_1)], ~(product1(e_2,e_1,e_1)), ~(product1(e_1,e_1,e_1)) Gamma_139: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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_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) 47: ~(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: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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_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) 47: ~(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_141: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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)), ~(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)) 47: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_142: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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))], ~(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)) 47: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_143: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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_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))], ~(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)) 47: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_144: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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)) 44: [product2(e_1,e_3,e_1)], ~(product1(e_3,e_1,e_1)), ~(product1(e_1,e_1,e_1)) 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) 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) 47: ~(product2(e_1,e_3,e_1)), [~(product2(e_1,e_2,e_1))], equalish( e_3,e_2) Gamma_145: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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)) 44: [~(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: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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)) 44: ~(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_147: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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)) 44: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_148: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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)), ~(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)) 44: ~(product2(e_3,e_2,e_1)), [~(product1(e_3,e_1,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_2)), ~(group_element(e_1)) Gamma_149: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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)) 41: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,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) 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_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_150: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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)) 41: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,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) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_151: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [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_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))] 41: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,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) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_152: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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: [group_element(e_1)] 28: [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)) 29: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_1, e_3)] 30: ~(product2(e_3,e_3,e_3)), ~(product2(e_3,e_1,e_3)), [equalish(e_3, e_1)] 31: ~(product2(e_3,e_1,e_3)), [~(product2(e_2,e_1,e_3))], equalish( e_3,e_2) 32: ~(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)) 33: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_1, e_2)] 34: ~(product2(e_2,e_2,e_2)), ~(product2(e_2,e_1,e_2)), [equalish(e_2, e_1)] 35: [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)) 36: ~(product2(e_1,e_3,e_3)), [~(product2(e_1,e_2,e_3))], equalish( e_3,e_2) 37: ~(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)) 38: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 39: ~(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)) 40: ~(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)) 41: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,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) 43: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_153: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_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)) 28: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 29: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 31: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_154: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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_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)) 28: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 29: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 31: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_155: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product2(e_3,e_3,e_3)), [product2(e_2,e_3,e_1)], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(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))] 28: ~(product2(e_2,e_3,e_1)), [~(product1(e_3,e_1,e_3))], equalish( e_3,e_2) 29: [~(product2(e_3,e_3,e_1))], ~(product2(e_2,e_3,e_1)), equalish( e_3,e_2) 30: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 31: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_156: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_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)) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 28: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_157: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product2(e_3,e_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)) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 28: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_158: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product2(e_3,e_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: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 28: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_159: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_3,e_1))], ~(product1(e_1,e_1,e_1)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: ~(product2(e_3,e_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: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 28: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_160: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product2(e_3,e_3,e_3)), [product2(e_3,e_2,e_1)], ~(product2(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(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)) 14: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 15: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 16: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 19: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 20: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 21: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( group_element(e_2)) 22: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 23: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 24: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 25: ~(product2(e_3,e_3,e_3)), product2(e_2,e_3,e_2), [product1(e_3, e_2,e_1)], ~(product1(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 26: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) 27: ~(product2(e_3,e_2,e_1)), [~(product1(e_2,e_1,e_2))], equalish( e_3,e_2) 28: ~(product2(e_3,e_2,e_1)), [~(product2(e_2,e_2,e_1))], equalish( e_3,e_2) Gamma_161: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 9: [~(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: [~(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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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) Gamma_162: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: [group_element(e_2)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_1))], ~(product2(e_2,e_2,e_2)), ~( product1(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(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: [~(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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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) Gamma_163: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 6: [group_element(e_2)] 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 8: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 9: ~(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)) 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_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 14: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 15: product2(e_3,e_2,e_3), ~(product2(e_2,e_2,e_2)), ~(product1(e_3,e_3,e_3)), [product1( e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [product(e_2,e_3,e_3)], product(e_2,e_2,e_3), product(e_2,e_1,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 18: [product(e_2,e_3,e_2)], product(e_2,e_2,e_2), product(e_2,e_1,e_2), ~( group_element(e_2)) 19: [product(e_3,e_2,e_3)], product(e_2,e_2,e_3), product(e_1,e_2,e_3), ~( group_element(e_3)), ~(group_element(e_2)) 20: [product(e_3,e_2,e_2)], product(e_2,e_2,e_2), product(e_1,e_2,e_2), ~( 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) Gamma_164: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 6: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)) 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 8: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_165: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: [group_element(e_3)] 4: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 6: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 8: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_166: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: [group_element(e_3)] 5: [product(e_3,e_3,e_3)], product(e_3,e_2,e_3), product(e_3,e_1,e_3), ~( group_element(e_3)) 6: ~(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))] 7: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 8: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 9: [~(equalish(e_3,e_2))] 10: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish( e_3,e_2) 11: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 12: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 13: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 14: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 15: ~(product2(e_3,e_3,e_3)), [~(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_2,e_2,e_2)) 17: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_167: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)) 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_168: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: [product1(X0,X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_169: (move) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [product1(X0,X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_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: top(X0) != e_1 & top(X0) != e_1 | [product1(e_1,e_1,e_1)] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_171: (right-split) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [product1(e_1,e_1,e_1)] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), ~(product1(e_1,e_1,e_1)), [~( group_element(e_3))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_172: (resolve) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: [~(product2(e_3,e_3,e_3))], ~(product2(e_2,e_2,e_2)) 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_173: (extend-conflict) 0: [product2(X0,X0,X0)] 1: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_174: (move) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [product2(X0,X0,X0)] 2: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 3: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 4: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 6: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish(e_3, e_2) 10: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 11: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 12: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 13: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 14: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 15: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_175: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: top(X0) != e_2 & top(X0) != e_2 | [product2(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_176: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [product2(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product2(e_3,e_3,e_3)), ~(product2(e_2,e_2,e_2)), [~(product1(e_1,e_1,e_1))] 5: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product1(X0, X0,X0)] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 7: [~(product2(e_3,e_2,e_2))], ~(product2(e_2,e_2,e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product2(e_2,e_3,e_2))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 11: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 12: ~(product2(e_2,e_2,e_2)), [~(product1(e_2,e_3,e_2))], equalish( e_3,e_2) 13: [~(product2(e_2,e_2,e_3))], ~(product2(e_2,e_2,e_2)), equalish( e_3,e_2) 14: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish( e_3,e_2) 15: product2(e_2,e_3,e_2), [~(product1(e_3,e_2,e_2))], ~(product1(e_2,e_2,e_2)) 16: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish( e_3,e_2) Gamma_177: (resolve) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 6: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 7: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_178: (extend-conflict) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product2(X0, X0,X0)] 3: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 6: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 7: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 8: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_179: (right-split) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: top(X0) != e_3 & top(X0) != e_3 | [product2(e_3,e_3,e_3)] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product2(X0, X0,X0)] 4: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_2,e_3))] 5: [~(equalish(e_3,e_2))] 6: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_3,e_3))], equalish(e_3, e_2) 7: product2(e_3,e_2,e_3), ~(product1(e_3,e_3,e_3)), [~(product1(e_2,e_3,e_3))] 8: ~(product2(e_3,e_3,e_3)), [~(product1(e_3,e_2,e_3))], equalish(e_3, e_2) 9: ~(product2(e_3,e_3,e_3)), [~(product2(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_180: (resolve) 0: ~(product2(e_3,e_3,e_3)), [~(product2(e_2,e_2,e_2))] 1: [~(product2(e_3,e_3,e_3))] 2: [] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product2(X0, X0,X0)] 4: [~(equalish(e_3,e_2))] SZS status Unsatisfiable