%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET987+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 : n018.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 05:45:26 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET987+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 11:58:57 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 1. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != (set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1))) ### Refl(=) % 0.20/0.50 2. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != (set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1))) ### Refl(=) % 0.20/0.50 3. (-. (in T_1 T_0)) (in T_1 T_0) ### Axiom % 0.20/0.50 4. ((set_difference T_0 (singleton T_1)) != T_0) (-. (in T_1 T_0)) ### Extension/test/not_t65_zfmisc_1 3 % 0.20/0.50 5. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) = (set_difference T_0 (singleton T_1))) (-. (in T_1 T_0)) ### TransEq 1 2 4 % 0.20/0.50 6. (All B, ((set_difference (set_union2 T_0 B) B) = (set_difference T_0 B))) (-. (in T_1 T_0)) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0) ### All 5 % 0.20/0.50 7. (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B)))) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0) (-. (in T_1 T_0)) ### All 6 % 0.20/0.50 8. (-. ((-. (in T_1 T_0)) => ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) = T_0))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B)))) ### NotImply 7 % 0.20/0.50 9. (-. (All B, ((-. (in T_1 B)) => ((set_difference (set_union2 B (singleton T_1)) (singleton T_1)) = B)))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B)))) ### NotAllEx 8 % 0.20/0.50 10. (-. (All A, (All B, ((-. (in A B)) => ((set_difference (set_union2 B (singleton A)) (singleton A)) = B))))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B)))) ### NotAllEx 9 % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) %------------------------------------------------------------------------------