%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 05:45:00 EDT 2022 % Result : Theorem 0.18s 0.37s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 12:25:57 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.37 % SZS status Theorem % 0.18/0.37 (* PROOF-FOUND *) % 0.18/0.37 (* BEGIN-PROOF *) % 0.18/0.37 % SZS output start Proof % 0.18/0.37 1. ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ((set_intersection2 T_1 (singleton T_0)) = (set_intersection2 (singleton T_0) T_1)) ### Sym(=) % 0.18/0.37 2. (All B, ((set_intersection2 T_1 B) = (set_intersection2 B T_1))) ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ### All 1 % 0.18/0.37 3. (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ### All 2 % 0.18/0.37 4. ((singleton T_0) != (singleton T_0)) ### Refl(=) % 0.18/0.37 5. ((singleton T_0) != (singleton T_0)) ### Refl(=) % 0.18/0.37 6. ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) ((set_intersection2 T_1 (singleton T_0)) = (singleton T_0)) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### TransEq 3 4 5 % 0.18/0.37 7. (in T_0 T_1) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) ### Extension/test/l32_zfmisc_1 6 % 0.18/0.37 8. (-. (disjoint (singleton T_0) T_1)) ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### Extension/test/l28_zfmisc_1ctrp 7 % 0.18/0.37 9. (-. ((disjoint (singleton T_0) T_1) \/ ((set_intersection2 (singleton T_0) T_1) = (singleton T_0)))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotOr 8 % 0.18/0.37 10. (-. (All B, ((disjoint (singleton T_0) B) \/ ((set_intersection2 (singleton T_0) B) = (singleton T_0))))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotAllEx 9 % 0.18/0.37 11. (-. (All A, (All B, ((disjoint (singleton A) B) \/ ((set_intersection2 (singleton A) B) = (singleton A)))))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotAllEx 10 % 0.18/0.37 % SZS output end Proof % 0.18/0.37 (* END-PROOF *) %------------------------------------------------------------------------------