%---------------- 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_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_2,e_3,e_3)) 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] Gamma_16: (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_2,e_3,e_3)) 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 16: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) Gamma_17: (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_2,e_3,e_3)) 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 16: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) 17: [~(equalish(e_3,e_2))] Gamma_18: (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_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 17: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) Gamma_19: (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_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 17: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) Gamma_20: (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_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 17: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) Gamma_21: (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_2,e_3,e_3)) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2, e_2,e_3)] 17: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3)) Gamma_22: (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)) 13: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3)) Gamma_23: (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)) 13: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3)) Gamma_24: (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)) 13: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] Gamma_25: (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_3,e_2)], ~(product(e_2,e_3,e_3)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) Gamma_26: (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_3,e_3)), [~(product(e_2,e_3,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_2,e_3,e_3)) 15: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] Gamma_27: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] Gamma_29: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] Gamma_30: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 16: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)) Gamma_31: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 16: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)) 17: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_32: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 17: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)) Gamma_33: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))], ~( product(e_2,e_2,e_3)) Gamma_34: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 17: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~( product(e_2,e_2,e_3))] Gamma_35: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~( product(e_2,e_2,e_3))] 15: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 17: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_36: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~( product(e_2,e_2,e_3))] 15: [~(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_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_37: (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_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_2)], product(e_2,e_3, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 14: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~( product(e_2,e_2,e_3))] 15: ~(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_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_38: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_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)) 15: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~( product(e_2,e_2,e_3))] 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_39: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) Gamma_44: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] Gamma_45: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 20: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] Gamma_46: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 20: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 21: ~(product(e_2,e_2,e_3)), [equalish(e_2,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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 20: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 21: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 22: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, e_1)] Gamma_48: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 19: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 20: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 21: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 22: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, e_1)] 23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_49: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 20: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 23: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, e_1)] Gamma_50: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 23: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 23: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, e_1)] 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)] 21: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1, e_3)] 22: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] 23: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3, 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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 18: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_2,e_2,e_3)), [equalish(e_2,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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 17: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] Gamma_55: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 18: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)] Gamma_56: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2) 17: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_57: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_3)), ~( group_element(e_2)) 15: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 16: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_58: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(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_3)), ~( group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) 17: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3, e_2) 18: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_59: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(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), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_60: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(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)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_61: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: [~(product(e_3,e_3,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_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_62: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,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_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_63: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~( group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_64: (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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 13: ~(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_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_65: (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))], ~(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_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 14: ~(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_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2, e_3,e_3) Gamma_66: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3, e_2) 14: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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)] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) Gamma_72: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] Gamma_73: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] 19: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))] Gamma_74: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 18: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))] 19: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2, e_2,e_2)] Gamma_75: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 18: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))] 19: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3)) Gamma_76: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~( group_element(e_2)) 18: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))] 19: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] Gamma_77: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: [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)) 19: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))] Gamma_78: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 19: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 19: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), product(e_2,e_2, e_1), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_83: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 19: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_84: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 19: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 20: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] Gamma_85: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 19: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 20: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 21: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_86: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] Gamma_87: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_2)], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), equalish( e_3,e_2), ~(group_element(e_2)) Gamma_88: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 18: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) Gamma_89: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_90: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) Gamma_91: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), product(e_2, e_2,e_1) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, 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_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 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_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~( group_element(e_3)), ~(group_element(e_1)) 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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_106: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_107: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1)) 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) Gamma_108: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_109: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product(e_3,e_1, e_1), product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_110: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) Gamma_111: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] Gamma_112: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] Gamma_113: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] Gamma_114: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] Gamma_115: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) Gamma_116: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] Gamma_117: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 32: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,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_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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 32: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_119: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 33: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)) Gamma_120: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 33: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], ~( product(e_2,e_1,e_3)) Gamma_121: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 33: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] Gamma_122: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~( group_element(e_2)), ~(group_element(e_1)) 32: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1, e_1,e_2)] 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_123: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product( e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_124: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product( e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_125: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product( e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 33: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] Gamma_126: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product( e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_127: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: [~(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_3,e_1)), product(e_2,e_1,e_1), ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,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)], 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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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)], 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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 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)], 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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 35: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_2)] Gamma_131: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 35: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_2)] 36: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) Gamma_132: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) 36: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1, e_3,e_2)] Gamma_133: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) 36: [~(product(e_2,e_3,e_1))], product(e_2,e_2,e_1), ~(product(e_2,e_1,e_1)), ~( product(e_1,e_2,e_3)) Gamma_134: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 33: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 34: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) 36: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_2,e_3)) Gamma_135: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_2,e_3)) 33: ~(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_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~( group_element(e_1)) 34: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 35: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)] 36: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) Gamma_136: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_2,e_3)) 33: [~(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_3,e_1)), product(e_2,e_2,e_1), ~(product(e_1,e_2,e_3)), ~( group_element(e_2)), ~(group_element(e_1)) 34: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) Gamma_137: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 29: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_2,e_3)) 33: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 34: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) Gamma_138: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1, e_2,e_3)] 29: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 30: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2, e_1)] 31: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 32: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 33: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~( product(e_1,e_2,e_3)) 34: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 35: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3)) Gamma_139: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(product(e_3,e_1,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 29: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_140: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 26: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 29: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_141: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 26: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1, e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1)) 27: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)] 28: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 29: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1, e_2)] 30: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 31: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 32: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_142: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), ~( group_element(e_1)) 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 29: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 30: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_143: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: [group_element(e_1)] 23: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 24: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 25: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 26: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 29: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 30: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_144: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: [group_element(e_1)] 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1)) 27: ~(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_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~( group_element(e_2)), ~(group_element(e_1)) 28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 29: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 30: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_145: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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)], 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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [product( e_2,e_2,e_3)], product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_147: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_148: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [product( e_2,e_2,e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_149: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,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)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_150: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 17: product(e_3,e_2,e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 19: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 20: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 21: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 22: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 23: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,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)) 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_151: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2, e_2,e_1) 21: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2, e_1), ~(group_element(e_2)) 22: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 23: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product( e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~( group_element(e_1))] 24: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 25: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2, e_2,e_3) 26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~( product(e_2,e_1,e_3))] 27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))] 28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_152: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2, e_2)], ~(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_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_153: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2, e_2), ~(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_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) 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)], 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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2, e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_155: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2, e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_156: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2, e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_157: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2, e_2), ~(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_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_158: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3))], 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)) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_159: (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))], ~(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: [~(equalish(e_3,e_2))] 13: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], 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_2,e_2), ~(product(e_3,e_2,e_1)), [~(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_3), ~(product(e_3,e_2,e_1)), product( e_2,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_3,e_3)), 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)) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_160: (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))], ~(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_2), [~(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_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_2,e_1)), [equalish(e_2,e_2)] 16: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)] 17: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish( e_3,e_2), ~(group_element(e_2)) 18: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product( e_2,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)) 19: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3, e_2) 20: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))] 21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))] 22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_161: (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))], ~(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_2), [~(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_2), ~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_162: (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))], ~(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_2), [~(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_2)], ~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_163: (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))], ~(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_2), [~(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_3,e_3,e_2))], product(e_2, e_3,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)], 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))], ~(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_2), [~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_165: (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))], ~(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_2), [~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_166: (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))], ~(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_2), [~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_167: (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_2))], ~(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_2), [~(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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_168: (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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_169: (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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_170: (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_3,e_3,e_2))], product(e_2, e_3,e_3) Gamma_171: (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_172: (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_173: (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)), [equalish(e_3,e_3)] Gamma_174: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] Gamma_175: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] Gamma_176: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: [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_177: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: [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)) 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] Gamma_178: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_179: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_180: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_181: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] Gamma_182: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2, e_3,e_3)] Gamma_183: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2, e_3,e_3)] 16: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_184: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] 15: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2, e_3,e_3)] Gamma_185: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] 15: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_3)), equalish( e_3,e_2) Gamma_186: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_2)), [product(e_2,e_2,e_3)] 15: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish( e_3,e_2) Gamma_187: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish( e_3,e_2) 15: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 16: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3, e_2) Gamma_188: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_3,e_2)), ~(product(e_3,e_2,e_2)), [~(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) Gamma_189: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [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_3,e_2)), ~(product(e_3,e_2,e_2)), [~(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) Gamma_190: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish( e_3,e_2) Gamma_191: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_2, e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_192: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_193: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] Gamma_194: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3)) Gamma_195: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3)) 17: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] Gamma_196: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3)) 17: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] 18: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) Gamma_197: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) 17: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3)) 18: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] Gamma_198: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 18: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] Gamma_199: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], 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_1)), [product(e_1, e_3,e_3)] 16: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) 17: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 18: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] Gamma_200: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1, e_3,e_3)] 17: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) 18: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)] Gamma_201: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 16: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) 17: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) Gamma_202: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 15: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 16: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 17: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) Gamma_203: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2)) 16: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3, e_2) 17: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3, e_2) Gamma_204: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) Gamma_205: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: [group_element(e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 13: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3, e_2) 14: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 15: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] Gamma_206: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [group_element(e_2)] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_207: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)) 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_208: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~( group_element(e_3)) 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_209: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(group_element(e_3)) 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_210: (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)), [equalish(e_3,e_3)] 10: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 11: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 12: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_211: (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))], ~(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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)] 12: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))] 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))], equalish(e_3, e_2) Gamma_212: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] Gamma_213: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 9: [~(equalish(e_3,e_2))] Gamma_214: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] Gamma_215: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] Gamma_216: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] Gamma_217: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_218: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] Gamma_219: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] Gamma_220: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] Gamma_221: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] Gamma_222: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,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)) Gamma_223: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,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_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_224: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: [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_225: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,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_226: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,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_227: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 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)) Gamma_228: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 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_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] Gamma_229: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 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_230: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_231: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_232: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) 22: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) Gamma_233: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_2)], product(e_2,e_2,e_1), ~(group_element(e_2)) Gamma_234: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2)], ~(product(e_2,e_3,e_2)), product(e_2,e_2, e_1), equalish(e_3,e_2), ~(group_element(e_2)) Gamma_235: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) Gamma_236: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] Gamma_237: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] Gamma_238: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_239: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 17: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 19: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_3,e_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] 26: [~(equalish(e_3,e_1))] Gamma_240: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3, e_1)] 18: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 19: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 20: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 22: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 24: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 26: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_241: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: [~(equalish(e_3,e_1))] 17: [~(product(e_3,e_2,e_3))], ~(product(e_1,e_2,e_3)) 18: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 19: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 20: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 22: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 24: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 26: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_242: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 15: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 16: [~(equalish(e_3,e_1))] 17: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))] 18: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 19: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 20: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 22: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 24: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 26: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_243: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_1,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1, e_2,e_3)] 16: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1, e_3)] 17: [~(equalish(e_3,e_1))] 18: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)] 19: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 20: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 21: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 22: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 23: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 24: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 25: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 26: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_244: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_1,e_2,e_3))] 15: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_3)) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 18: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_245: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 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_1,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 18: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_246: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 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)) 15: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))] 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 18: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_247: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_248: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_249: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] 24: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] Gamma_250: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] 24: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2)) Gamma_251: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))] 19: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3, e_2) 20: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2, e_1)], equalish(e_3,e_2), ~(group_element(e_2)) 21: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 22: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] 24: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] Gamma_252: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), [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_3,e_2), ~(product(e_2,e_3,e_2)), [~(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_2), ~(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_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1, e_3,e_2)] 23: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1, e_2)] 24: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2, e_1)] Gamma_253: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), product(e_2,e_3, e_1), ~(group_element(e_3)), ~(group_element(e_2)) Gamma_254: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) Gamma_255: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] Gamma_256: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] Gamma_257: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 21: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) Gamma_258: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 21: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) 22: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_259: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) 21: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1, e_2,e_2)] 22: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2)) Gamma_260: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) 21: ~(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_1) Gamma_261: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) 21: ~(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_1) Gamma_262: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(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_1) 20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)] 21: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_263: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(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_1) 20: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3, e_1) 21: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_264: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 19: ~(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_1) 20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 21: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_265: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 19: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 20: ~(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_1) 21: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_266: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 19: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), equalish(e_3,e_1), ~( group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_267: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 19: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [equalish(e_3,e_1)], ~( group_element(e_3)), ~(group_element(e_2)) 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_268: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 19: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_269: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 15: [~(equalish(e_3,e_1))] 16: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 17: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 18: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 19: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_270: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 18: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))] 19: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3, e_1) 20: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3, e_1) Gamma_271: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], product(e_3,e_2, e_1), ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_272: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_273: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] 18: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) Gamma_274: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2, e_1)], ~(group_element(e_3)), ~(group_element(e_2)) 17: [~(equalish(e_3,e_1))] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_275: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), ~(group_element(e_2)) 17: [~(equalish(e_3,e_1))] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_276: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: [group_element(e_2)] 13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 17: [~(equalish(e_3,e_1))] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_277: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: [group_element(e_2)] 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~( group_element(e_2)) 16: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 17: [~(equalish(e_3,e_1))] 18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_278: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_279: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [equalish(e_3,e_2)], ~( group_element(e_3)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_280: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(group_element(e_3)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_281: (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_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [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)), [equalish(e_3,e_3)] 11: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 12: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 13: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_282: (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))], ~(group_element(e_3)) 8: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 9: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)] 12: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)] 13: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~( group_element(e_3)), [~(group_element(e_2))] 14: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))] 15: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3, e_2) 16: [~(equalish(e_3,e_1))] 17: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_283: (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_3), [~(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: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_284: (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_3), [~(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: product(e_3,e_3,e_3), [product(e_3,e_3,e_2)], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_285: (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_3), [~(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: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_286: (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_3), [~(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: [product(e_3,e_3,e_3)], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_287: (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_3), [~(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: [~(group_element(e_3))] 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_288: (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_3), [~(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: [~(group_element(e_3))] 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_289: (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: [group_element(e_3)] 7: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)) 8: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3)) 9: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3)) 10: [~(equalish(e_3,e_2))] 11: [~(equalish(e_3,e_1))] 12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))] Gamma_290: (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: [] 7: [~(equalish(e_3,e_2))] 8: [~(equalish(e_3,e_1))] SZS status Unsatisfiable