%---------------- 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_2, e_3)] 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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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)) 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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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_3)), ~(product(e_2,e_3,e_3)) Gamma_9: (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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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_3)), ~(product(e_2,e_3,e_3)) 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_10: (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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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_3)), ~(product(e_2,e_3,e_3)) 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) Gamma_11: (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_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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_3)), ~(product(e_2,e_3,e_3)) 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 11: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,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: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [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_3)), ~(product(e_2,e_3,e_3)) 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 11: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 12: [~(equalish(e_3,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_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_2, e_3)] 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,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_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 12: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,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_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_2, e_3)] 6: [~(equalish(e_3,e_2))] 7: [~(product(e_3,e_3,e_3))], ~(product(e_3,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_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 12: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) Gamma_15: (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_2, e_3)] 6: [~(equalish(e_3,e_2))] 7: ~(product(e_3,e_3,e_3)), [~(product(e_3,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_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 12: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) Gamma_16: (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: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 7: [~(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_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) 12: [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_2)) Gamma_17: (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)) Gamma_18: (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)) Gamma_19: (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_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_20: (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)) Gamma_21: (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_22: (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_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)) 9: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 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_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: [product(e_3,e_3,e_2)], ~(product(e_2,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_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [product(e_3,e_3,e_2)], ~(product(e_2,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_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_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] Gamma_28: (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_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_3)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] Gamma_29: (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_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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( product(e_2,e_3,e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 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_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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] Gamma_36: (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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_3)] Gamma_37: (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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_3)] 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_3, 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_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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_3)] 14: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) Gamma_39: (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_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 9: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_3)] 14: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) Gamma_40: (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_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~( product(e_2,e_3,e_2))] 10: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product( e_2,e_3,e_1)], 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_2,e_3), [~(product(e_2,e_2,e_3))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 13: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_2)] 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_3)] Gamma_41: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) Gamma_42: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) Gamma_43: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: 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_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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: 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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: 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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_2)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_3)] Gamma_46: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: 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)) 12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_2)] 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_3)] 14: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_47: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: 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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_2)] 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_3)] Gamma_48: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: [product(e_2,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_49: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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_50: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_51: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) Gamma_52: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) Gamma_53: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] Gamma_54: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_55: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) Gamma_56: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) Gamma_57: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] Gamma_58: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 21: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) Gamma_59: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 21: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 22: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) Gamma_60: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 21: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 22: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 23: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_61: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 21: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 22: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 23: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 24: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] Gamma_62: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 21: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 22: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 23: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 24: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] 25: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) Gamma_63: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 21: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 22: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 23: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 24: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] Gamma_64: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 21: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 22: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 23: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 24: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] Gamma_65: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 18: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 21: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 22: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 23: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 24: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] Gamma_66: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 19: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 20: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1, e_3,e_3)] 22: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1)) 23: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 24: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3, e_1,e_3)] Gamma_67: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 18: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_68: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 16: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 17: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_69: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 16: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 17: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_1,e_1)), [~(product(e_1,e_1,e_3))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 19: [~(product(e_3,e_1,e_1))], ~(product(e_2,e_1,e_1)), equalish(e_3, e_2) 20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_70: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 17: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 18: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 19: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_71: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 14: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 17: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 18: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 19: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_72: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 15: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 17: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_2,e_2)] 18: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1)) 19: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2, e_1,e_2)] Gamma_73: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 14: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) Gamma_74: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: product(e_2,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)) 13: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) Gamma_75: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: product(e_2,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)) 14: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_1,e_2))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) 15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_1,e_1)), equalish(e_3,e_2) Gamma_76: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: ~(product(e_3,e_2,e_1)), [product(e_2,e_3,e_3)], ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_77: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: ~(product(e_3,e_2,e_1)), [product(e_2,e_3,e_3)], ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_78: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_79: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), [equalish(e_3,e_2)], ~(group_element(e_3)), ~( group_element(e_2)) Gamma_80: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_81: (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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 12: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) 13: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~( product(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_82: (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)), ~( product(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) 13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(product(e_1,e_1,e_1)), equalish( e_3,e_2) Gamma_83: (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)), ~( product(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 7: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,e_1)), ~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_84: (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)), ~( product(e_1,e_1,e_1)), ~(group_element(e_3)), ~(group_element(e_2)) 7: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,e_1)), ~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_85: (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)), ~(product(e_1,e_1,e_1)), ~( 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)), ~( product(e_1,e_1,e_1)), ~(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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 12: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_86: (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)), ~(product(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 4: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,e_1)), ~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_87: (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)), ~(product(e_1,e_1,e_1)), ~( group_element(e_3)), [~(group_element(e_2))] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,e_1)), [~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_88: (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)), ~(product(e_1,e_1,e_1)), [~( group_element(e_3))] 3: [group_element(e_3)] 4: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,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))] 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_89: (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)), ~(product(e_1,e_1,e_1)), [~( group_element(e_3))] 3: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)), ~(product(e_1,e_1,e_1)) 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, 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_90: (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)), ~(product(e_1,e_1,e_1)), [~( group_element(e_3))] 3: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~(product(e_1,e_1,e_1))] 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, 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_91: (move) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 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)), ~(product(e_1,e_1,e_1)), [~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, 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_92: (right-split) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: top(X0) != e_1 & top(X0) != e_1 | [product(e_1,e_1,e_1)] 2: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [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)), ~(product(e_1,e_1,e_1)), [~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_93: (right-split) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: [product(e_1,e_1,e_1)] 2: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [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)), ~(product(e_1,e_1,e_1)), [~( 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 11: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_94: (resolve) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: [~(product(e_3,e_3,e_3))], ~(product(e_2,e_2,e_2)) 2: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product(X0,X0, X0)] 3: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 4: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 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_2,e_3), [~(product(e_2,e_2,e_3))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_95: (extend-conflict) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: top(X0) != e_1 & top(X0) != e_1 & top(X0) != e_1 | [product(X0,X0, X0)] 3: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 4: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2)) 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_2,e_3), [~(product(e_2,e_2,e_3))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) 9: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2)), equalish(e_3, e_2) Gamma_96: (right-split) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: top(X0) != e_2 & top(X0) != e_2 | [product(e_2,e_2,e_2)] 3: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0, X0)] 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_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, 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_97: (resolve) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: top(X0) != e_2 & top(X0) != e_2 | [~(product(e_3,e_3,e_3))] 3: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [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_2,e_3), [~(product(e_2,e_2,e_3))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) Gamma_98: (extend-conflict) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: [~(product(e_3,e_3,e_3))] 3: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [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_2,e_3), [~(product(e_2,e_2,e_3))] 8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) Gamma_99: (right-split) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: [~(product(e_3,e_3,e_3))] 3: top(X0) != e_3 & top(X0) != e_3 | [product(e_3,e_3,e_3)] 4: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product(X0,X0, X0)] 5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 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_3,e_2,e_3), [~(product(e_2,e_2,e_3))] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_3, e_2,e_3) Gamma_100: (resolve) 0: ~(product(e_3,e_3,e_3)), ~(product(e_2,e_2,e_2)), [~( product(e_1,e_1,e_1))] 1: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_2,e_2))] 2: [~(product(e_3,e_3,e_3))] 3: [] 4: top(X0) != e_3 & top(X0) != e_3 & top(X0) != e_3 | [product(X0,X0, X0)] 5: [~(equalish(e_3,e_2))] SZS status Unsatisfiable