%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] Gamma_1: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] Gamma_2: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] Gamma_3: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] Gamma_4: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] Gamma_5: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] Gamma_6: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] Gamma_7: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] Gamma_8: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] Gamma_9: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] Gamma_10: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] Gamma_11: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] Gamma_12: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] Gamma_13: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p12(esk7_0)] Gamma_14: (extend-no-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p12(esk7_0)] 14: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] Gamma_15: (extend-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p12(esk7_0)] 14: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] 15: [~(p12(esk7_0))] Gamma_16: (move) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: [~(p12(esk7_0))] 14: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p12(esk7_0)] 15: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] Gamma_17: (resolve) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: [~(p12(esk7_0))] 14: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 15: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] Gamma_18: (extend-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [r1(esk6_0,esk7_0)] 12: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 13: [~(p12(esk7_0))] 14: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 15: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] Gamma_19: (move) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 12: [r1(esk6_0,esk7_0)] 13: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p16(esk7_0)] 14: [~(p12(esk7_0))] 15: ~(r1(esk6_0,esk7_0)), ~(r1(esk1_0,esk6_0)), [p14(esk7_0)] Gamma_20: (resolve) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 12: [~(r1(esk1_0,esk6_0))] 13: [~(p12(esk7_0))] Gamma_21: (extend-conflict) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [r1(esk1_0,esk6_0)] 11: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 12: [~(r1(esk1_0,esk6_0))] 13: [~(p12(esk7_0))] Gamma_22: (move) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [~(r1(esk1_0,esk6_0))] 11: [r1(esk1_0,esk6_0)] 12: [~(r1(esk6_0,esk7_0))], ~(r1(esk1_0,esk6_0)) 13: [~(p12(esk7_0))] Gamma_23: (resolve) 0: [r1(esk1_0,esk2_0)] 1: [r1(esk2_0,esk3_0)] 2: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p16(esk3_0)] 3: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p12(esk3_0)] 4: ~(r1(esk2_0,esk3_0)), ~(r1(esk1_0,esk2_0)), [p14(esk3_0)] 5: [r1(esk1_0,esk4_0)] 6: [r1(esk4_0,esk5_0)] 7: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p16(esk5_0)] 8: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p12(esk5_0)] 9: ~(r1(esk4_0,esk5_0)), ~(r1(esk1_0,esk4_0)), [p14(esk5_0)] 10: [~(r1(esk1_0,esk6_0))] 11: [] 12: [~(p12(esk7_0))] SZS status Unsatisfiable