%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- Gamma_0: (extend-no-conflict) 0: [greater(e_3,e_2)] Gamma_1: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] Gamma_2: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] Gamma_3: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] Gamma_4: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] Gamma_5: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] Gamma_6: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) Gamma_7: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] Gamma_8: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] Gamma_9: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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_10: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] Gamma_11: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] Gamma_12: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] Gamma_13: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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_14: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) Gamma_15: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 15: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_16: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 13: [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)) 14: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 15: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 16: [~(equalish(e_3,e_2))] Gamma_17: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3, e_2)] 14: [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)) 15: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_18: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_3)) 14: [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)) 15: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_19: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: [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)) 10: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 14: [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)) 15: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_20: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: [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)) 11: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2, e_3)] 13: [~(equalish(e_3,e_2))] 14: [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)) 15: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_3)), ~(product(e_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_21: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(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)) Gamma_22: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(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)) Gamma_23: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(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_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] Gamma_24: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: [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_25: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_26: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_27: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] Gamma_28: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 15: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_29: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 15: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_30: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_31: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_32: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_33: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2, e_2,e_3)] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_34: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(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_3,e_2)) 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_35: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 15: ~(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_3,e_2))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_36: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_2)], product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_37: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), product(e_2,e_3,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_38: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_39: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_40: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] Gamma_41: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] Gamma_42: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] Gamma_43: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: product(e_2,e_2,e_3), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_44: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: product(e_2,e_2,e_3), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), ~( group_element(e_2)) 22: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_45: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: product(e_2,e_2,e_3), [product(e_2,e_2,e_2)], product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_46: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)], product(e_2,e_2, e_1), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_47: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_48: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] Gamma_49: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] Gamma_50: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 25: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] Gamma_51: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 24: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 25: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] 26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_52: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_2)), product(e_2,e_2,e_3), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 24: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 25: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_1, e_2)] 26: ~(product(e_2,e_1,e_2)), ~(product(e_1,e_1,e_2)), [equalish(e_2, e_1)] Gamma_53: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), product(e_2, e_2,e_3), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_54: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_2,e_3)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_55: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(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_3,e_1)), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_56: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 19: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 20: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_57: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: ~(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_3), [product(e_2,e_3,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_1, e_2,e_3)] 19: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [product(e_2, e_1,e_2)] 20: ~(product(e_2,e_1,e_2)), [equalish(e_2,e_2)] 21: ~(product(e_1,e_2,e_3)), [equalish(e_1,e_1)] 22: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_58: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: [~(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_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_59: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: ~(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_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_60: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_61: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [equalish( e_3,e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_62: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), ~( group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_63: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 10: ~(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)) 11: [~(equalish(e_3,e_2))] 12: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 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_3,e_2))] 14: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_64: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(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)) 12: [~(equalish(e_3,e_2))] 13: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_3))] 14: ~(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_3,e_2))] 15: ~(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_3,e_1))], equalish(e_3,e_2), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_65: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] Gamma_66: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] Gamma_67: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] Gamma_68: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] Gamma_69: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: [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_70: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: [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)) 16: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) Gamma_71: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: [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)) 16: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_72: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: [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)) 16: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_73: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: [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)) 17: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_74: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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_75: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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_76: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] Gamma_77: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] Gamma_78: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_79: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 20: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_80: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 20: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_81: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3)) Gamma_82: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_83: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] Gamma_84: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_85: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_86: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_87: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] Gamma_88: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] Gamma_89: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] 24: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_90: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 23: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_2)] 24: ~(product(e_2,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_2, e_1)] Gamma_91: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), product( e_2,e_2,e_1), equalish(e_3,e_2), ~(group_element(e_2)) 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_92: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_93: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] Gamma_94: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 23: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] 24: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_95: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [product( e_2,e_2,e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 24: ~(product(e_2,e_2,e_1)), [product(e_1,e_1,e_2)] Gamma_96: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 22: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), ~(product(e_2,e_3,e_2)), equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_97: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(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)) 17: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 21: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_98: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(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)) 18: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 20: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 21: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_99: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), product(e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_100: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_101: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_102: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_103: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 23: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_104: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 23: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_105: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 23: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), product(e_2, e_2,e_1) Gamma_106: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 23: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_2, e_2,e_1)] Gamma_107: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 23: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_2) Gamma_108: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) Gamma_109: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 23: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_110: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), product(e_2, e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_111: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [product(e_2, e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_112: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_113: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [equalish(e_3, e_2)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_114: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_1)), ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_115: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( 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_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 12: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 14: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_116: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 15: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 16: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), product(e_2,e_3, e_3), [~(product(e_2,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 22: product(e_2,e_2,e_1), [~(product(e_1,e_1,e_2))] Gamma_117: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_118: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_119: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)), ~(group_element(e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_120: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: [group_element(e_2)] 9: ~(product(e_3,e_3,e_3)), [~(product(e_3,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))], ~( group_element(e_3)), ~(group_element(e_2)) 11: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_121: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 9: [group_element(e_2)] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 11: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [~(product(e_3,e_2,e_2))], ~( group_element(e_3)), ~(group_element(e_2)) 12: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~( group_element(e_2)) 13: [~(equalish(e_3,e_2))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_122: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 9: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 11: [~(equalish(e_3,e_2))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_123: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 7: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 8: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 9: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 11: [~(equalish(e_3,e_2))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_124: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~( group_element(e_3)) 8: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)] 9: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))] 10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))] 11: [~(equalish(e_3,e_2))] 12: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_2,e_3))] 14: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_125: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] Gamma_126: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] Gamma_127: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] Gamma_128: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] Gamma_129: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] Gamma_130: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] Gamma_131: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [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_132: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [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)) 14: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_133: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: [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_134: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_135: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_136: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) Gamma_137: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_138: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_139: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_140: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] Gamma_141: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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_142: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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)) 18: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) Gamma_143: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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)) 18: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] Gamma_144: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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)) 18: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 20: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] Gamma_145: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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)) 18: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 20: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] Gamma_146: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [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)) 18: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 20: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] 22: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_147: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [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)) 19: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_3)], ~(product(e_2,e_3,e_3)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1, e_3,e_2)] 21: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_3)] 22: ~(product(e_3,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_3, e_1)] Gamma_148: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_149: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_150: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] Gamma_151: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] Gamma_152: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] 21: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_153: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_2, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), [product(e_1, e_2,e_2)] Gamma_154: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_155: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_156: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] Gamma_157: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] Gamma_158: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) Gamma_159: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) Gamma_160: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] Gamma_161: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) Gamma_162: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] Gamma_163: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 27: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_164: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 23: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 24: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 27: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_165: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2)) 24: [product(e_3,e_1,e_2)], ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)) 25: ~(product(e_2,e_2,e_3)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 26: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 27: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 28: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_166: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_167: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_168: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_2)] 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_169: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_170: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_171: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), [product(e_2,e_3,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 21: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1, e_1,e_3)] 22: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 23: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 24: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3)) 25: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_2, e_1,e_3)] 26: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_3,e_1)), [product(e_1, e_2,e_3)] Gamma_172: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 20: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_173: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_174: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_2)), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 18: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 19: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_1,e_2))], equalish(e_3, e_2) 22: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_175: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_176: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: [group_element(e_2)] 13: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_177: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 13: [group_element(e_2)] 14: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_3)), equalish( e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 18: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_178: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 13: [~(product(e_3,e_3,e_2))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)) 14: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 16: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_179: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 10: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 14: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 16: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_180: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_2)), [product(e_2,e_2,e_3)] 11: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 12: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 13: ~(product(e_3,e_3,e_2)), ~(product(e_2,e_2,e_3)), equalish(e_3, e_2), ~(group_element(e_3)), [~(group_element(e_2))] 14: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 16: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 17: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_181: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 10: [~(product(e_3,e_3,e_2))], equalish(e_3,e_2), ~(group_element(e_3)) 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_182: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 10: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~(group_element(e_3)) 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_183: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 10: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_184: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 8: [~(equalish(e_3,e_2))] 9: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 10: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_185: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2), ~(group_element(e_3)) 11: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 13: ~(product(e_3,e_3,e_2)), [~(product(e_2,e_3,e_2))], equalish(e_3, e_2) Gamma_186: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] Gamma_187: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] Gamma_188: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] Gamma_189: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_190: (extend-no-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 12: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] Gamma_191: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 12: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] 13: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_192: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 11: ~(product(e_3,e_3,e_1)), [product(e_1,e_1,e_3)] 12: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 13: ~(product(e_1,e_1,e_3)), [equalish(e_1,e_1)] Gamma_193: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 11: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 12: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_194: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] 10: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 11: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 12: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_195: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 9: [product(e_3,e_3,e_1)], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 12: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] Gamma_196: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 9: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 10: [~(equalish(e_3,e_2))] 11: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_197: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: [group_element(e_3)] 6: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 7: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 9: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 10: [~(equalish(e_3,e_2))] 11: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_198: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 6: [group_element(e_3)] 7: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 8: [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 9: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 10: [~(equalish(e_3,e_2))] 11: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_199: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 6: [~(greater(e_3,e_2))], ~(next(e_1,e_2)) 7: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 8: [~(equalish(e_3,e_2))] 9: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_200: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: [next(e_1,e_2)] 5: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 6: ~(greater(e_3,e_2)), [~(next(e_1,e_2))] 7: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 8: [~(equalish(e_3,e_2))] 9: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_201: (move) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: ~(greater(e_3,e_2)), [~(next(e_1,e_2))] 5: [next(e_1,e_2)] 6: ~(greater(e_3,e_2)), ~(next(e_1,e_2)), [~(group_element(e_3))] 7: [~(product(e_3,e_3,e_1))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) 8: [~(equalish(e_3,e_2))] 9: [~(product(e_1,e_1,e_3))], ~(greater(e_3,e_2)), ~(next(e_1,e_2)) Gamma_202: (resolve) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: ~(greater(e_3,e_2)), [~(next(e_1,e_2))] 5: [~(greater(e_3,e_2))] 6: [~(equalish(e_3,e_2))] Gamma_203: (extend-conflict) 0: [greater(e_3,e_2)] 1: [greater(e_3,e_1)] 2: [greater(e_2,e_1)] 3: [next(e_2,e_3)] 4: ~(greater(e_3,e_2)), [~(next(e_1,e_2))] 5: [~(greater(e_3,e_2))] 6: [~(equalish(e_3,e_2))] Gamma_204: (move) 0: [~(greater(e_3,e_2))] 1: [greater(e_3,e_2)] 2: [greater(e_3,e_1)] 3: [greater(e_2,e_1)] 4: [next(e_2,e_3)] 5: ~(greater(e_3,e_2)), [~(next(e_1,e_2))] 6: [~(equalish(e_3,e_2))] Gamma_205: (resolve) 0: [~(greater(e_3,e_2))] 1: [] 2: [greater(e_3,e_1)] 3: [greater(e_2,e_1)] 4: [next(e_2,e_3)] 5: [~(equalish(e_3,e_2))] SZS status Unsatisfiable