%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I+ Gamma_0: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) Gamma_1: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) Gamma_2: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] Gamma_3: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] Gamma_4: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) Gamma_5: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] Gamma_6: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] Gamma_7: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] 7: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_8: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] 7: [~(big_f(esk2_0))], big_f(esk3_0) 8: [big_g(esk3_0)], big_f(esk3_0) Gamma_9: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: big_h(esk3_0), [~(big_g(esk3_0))] 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_10: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: [big_h(esk3_0)], big_f(esk3_0) 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_11: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: big_h(esk3_0), [big_f(esk3_0)] 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_12: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: big_h(esk3_0), [~(big_f(esk3_0))] 7: [big_g(esk3_0)], big_f(esk3_0) 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_13: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: [big_h(esk3_0)] Gamma_14: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: [big_h(esk3_0)] Gamma_15: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 6: big_h(esk3_0), [big_f(esk3_0)] Gamma_16: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [big_g(esk4_0)], big_f(esk4_0) Gamma_17: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [big_g(esk4_0)], big_f(esk4_0) Gamma_18: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: big_h(esk4_0), [~(big_g(esk4_0))] 5: [big_h(esk3_0)] Gamma_19: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: [big_h(esk4_0)], big_f(esk4_0) 5: [big_h(esk3_0)] Gamma_20: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: big_h(esk4_0), [big_f(esk4_0)] 5: [big_h(esk3_0)] Gamma_21: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: big_h(esk4_0), [~(big_f(esk4_0))] 4: [big_g(esk4_0)], big_f(esk4_0) 5: [big_h(esk3_0)] Gamma_22: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: [big_h(esk4_0)] 4: [big_h(esk3_0)] Gamma_23: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: [big_h(esk4_0)] 4: [big_h(esk3_0)] Gamma_24: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 3: big_h(esk4_0), [big_f(esk4_0)] 4: [big_h(esk3_0)] Gamma_25: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk3_0))] 3: [big_h(esk3_0)] Gamma_26: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk3_0))] 3: [big_h(esk3_0)] Gamma_27: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [big_h(esk3_0)] 3: [~(big_h(esk3_0))] Gamma_28: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [big_h(esk3_0)] 3: [] SZS status Unsatisfiable %---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I+ Gamma_0: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) Gamma_1: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) Gamma_2: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] Gamma_3: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] Gamma_4: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) Gamma_5: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] Gamma_6: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] Gamma_7: (extend-no-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] 7: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_8: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: big_h(esk3_0), [~(big_g(esk3_0))] 7: [~(big_f(esk2_0))], big_f(esk3_0) 8: [big_g(esk3_0)], big_f(esk3_0) Gamma_9: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: big_h(esk3_0), [~(big_g(esk3_0))] 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_10: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: [big_h(esk3_0)], big_f(esk3_0) 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_11: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [~(big_f(esk3_0))] 6: [big_g(esk3_0)], big_f(esk3_0) 7: big_h(esk3_0), [big_f(esk3_0)] 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_12: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: big_h(esk3_0), [~(big_f(esk3_0))] 7: [big_g(esk3_0)], big_f(esk3_0) 8: [~(big_f(esk2_0))], big_f(esk3_0) Gamma_13: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: [big_h(esk3_0)] Gamma_14: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 5: big_h(esk3_0), [big_f(esk3_0)] 6: [big_h(esk3_0)] Gamma_15: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [~(big_h(esk3_0))], big_g(esk4_0), big_f(esk4_0) 6: big_h(esk3_0), [big_f(esk3_0)] Gamma_16: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [big_g(esk4_0)], big_f(esk4_0) Gamma_17: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: big_h(esk4_0), [~(big_g(esk4_0))] 4: [big_h(esk3_0)] 5: [big_g(esk4_0)], big_f(esk4_0) Gamma_18: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: big_h(esk4_0), [~(big_g(esk4_0))] 5: [big_h(esk3_0)] Gamma_19: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: [big_h(esk4_0)], big_f(esk4_0) 5: [big_h(esk3_0)] Gamma_20: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [~(big_f(esk4_0))] 3: [big_g(esk4_0)], big_f(esk4_0) 4: big_h(esk4_0), [big_f(esk4_0)] 5: [big_h(esk3_0)] Gamma_21: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: big_h(esk4_0), [~(big_f(esk4_0))] 4: [big_g(esk4_0)], big_f(esk4_0) 5: [big_h(esk3_0)] Gamma_22: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: [big_h(esk4_0)] 4: [big_h(esk3_0)] Gamma_23: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 2: big_h(esk4_0), [big_f(esk4_0)] 3: [big_h(esk4_0)] 4: [big_h(esk3_0)] Gamma_24: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk4_0))], ~(big_h(esk3_0)) 3: big_h(esk4_0), [big_f(esk4_0)] 4: [big_h(esk3_0)] Gamma_25: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk3_0))] 3: [big_h(esk3_0)] Gamma_26: (extend-conflict) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [~(big_h(esk3_0))] 3: [big_h(esk3_0)] Gamma_27: (move) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [big_h(esk3_0)] 3: [~(big_h(esk3_0))] Gamma_28: (resolve) 0: [~(big_g(esk1_0))], ~(big_f(esk2_0)) 1: [big_h(esk4_0)] 2: [big_h(esk3_0)] 3: [] SZS status Unsatisfiable