%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [product(X0,X0,X0)] Gamma_1: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] Gamma_2: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] Gamma_3: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] Gamma_4: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_5: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_6: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_7: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_8: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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_9: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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)) 9: [~(equalish(e_3,e_2))] Gamma_10: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: [~(equalish(e_3,e_2))] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [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_11: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: [~(equalish(e_3,e_2))] 6: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_3)) 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [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_12: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 5: [~(equalish(e_3,e_2))] 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [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_13: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [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: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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_15: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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_16: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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)) 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), ~( product(e_2,e_2,e_2)), [equalish(e_2,e_3)] Gamma_17: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [product(e_3,e_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)) 9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), ~( product(e_2,e_2,e_2)), [equalish(e_2,e_3)] 10: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_18: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 9: [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)) 10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), ~( product(e_2,e_2,e_2)), [equalish(e_2,e_3)] Gamma_19: (resolve+delete) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_20: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_21: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 9: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2) Gamma_22: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_23: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_24: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_2, e_3)] Gamma_25: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 9: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_2, e_3)] 10: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_26: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_2, e_3)] Gamma_27: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_28: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_29: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_3, e_2)] Gamma_30: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) Gamma_31: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 10: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) Gamma_32: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_33: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_34: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_35: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_36: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: [product(e_3,e_3,e_2)], product(e_3,e_2,e_2), product(e_3,e_1,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_37: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: [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_38: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_1, e_2), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_39: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_40: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: 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_41: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: 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)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_42: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, 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_43: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: [product(e_2,e_3,e_3)], ~(product(e_2,e_2,e_2)), product(e_2,e_1, e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_44: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_45: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] Gamma_46: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_2,e_1)] Gamma_47: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_2,e_1)] 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_2)] Gamma_48: (extend-no-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_2,e_1)] 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_2)] 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_3)] Gamma_49: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] 16: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_2,e_1)] 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_2)] 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_3)] 19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_50: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))], equalish( e_3,e_2) 15: product(e_2,e_3,e_3), ~(product(e_2,e_2,e_2)), [product(e_2,e_1, e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_3,e_1)] 17: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_2,e_1)] 18: ~(product(e_3,e_1,e_2)), ~(product(e_2,e_2,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_2)] 19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), ~(product(e_2,e_1,e_3)), [equalish( e_1,e_3)] Gamma_51: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))], equalish( e_3,e_2) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [product(e_2, e_3,e_3)], ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) Gamma_52: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))], equalish( e_3,e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) Gamma_53: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_3,e_1, e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_1,e_2)), [~(product(e_2,e_1,e_3))], equalish( e_3,e_2) Gamma_54: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_2), product(e_2,e_3, e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_55: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), [product(e_2,e_3, e_3)], ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_56: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_2), ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_57: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_2), ~(product(e_2,e_2,e_2)), [equalish( e_3,e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_58: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_2), ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_59: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_60: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~( group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_61: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: [group_element(e_2)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 13: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~( group_element(e_2))] 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_62: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~( group_element(e_2))] 4: [group_element(e_2)] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 10: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 11: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_1,e_2))], product(e_2, e_3,e_3), ~(product(e_2,e_2,e_2)), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 14: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_63: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~( group_element(e_2))] 4: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)) 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_64: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: [group_element(e_3)] 3: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~( group_element(e_2))] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_65: (move) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 3: [group_element(e_3)] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~( group_element(e_2))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_66: (resolve) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 3: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)) 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 10: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_67: (extend-conflict) 0: [product(X0,X0,X0)] 1: ~(product(X0,X0,X0)), [equalish(X0,X0)] 2: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 3: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 10: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_68: (move) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [product(X0,X0,X0)] 2: ~(product(X0,X0,X0)), [equalish(X0,X0)] 3: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 10: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_69: (right-split) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: top(X0) != e_2 & top(X0) != e_2 | [product(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0, X0)] 3: ~(product(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_70: (right-split) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [product(e_2,e_2,e_2)] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0, X0)] 3: ~(product(X0,X0,X0)), [equalish(X0,X0)] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(group_element(e_3))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 7: [~(equalish(e_3,e_2))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) 11: [~(product(e_2,e_2,e_3))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_71: (resolve) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [~(product(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0, X0)] 3: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_72: (extend-conflict) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [~(product(e_3,e_3,e_3))] 2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0, X0)] 3: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 4: [~(equalish(e_3,e_2))] 5: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_73: (right-split) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [~(product(e_3,e_3,e_3))] 2: top(X0) != e_3 & top(X0) != e_3 | [product(e_3,e_3,e_3)] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product(X0,X0, X0)] 4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 5: [~(equalish(e_3,e_2))] 6: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 7: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], equalish(e_3, e_2) Gamma_74: (resolve) 0: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 1: [~(product(e_3,e_3,e_3))] 2: [] 3: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product(X0,X0, X0)] 4: [~(equalish(e_3,e_2))] SZS status Unsatisfiable