%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU115+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 : n007.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 14:48:23 EDT 2022 % Result : Theorem 2.53s 2.73s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU115+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 : n007.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 Jun 19 08:41:59 EDT 2022 % 0.13/0.34 % CPUTime : % 2.53/2.73 % SZS status Theorem % 2.53/2.73 (* PROOF-FOUND *) % 2.53/2.73 (* BEGIN-PROOF *) % 2.53/2.73 % SZS output start Proof % 2.53/2.73 1. (empty (empty_set)) (-. (empty (empty_set))) ### Axiom % 2.53/2.73 2. (-. (finite (empty_set))) (finite (empty_set)) ### Axiom % 2.53/2.73 3. ((empty (empty_set)) => (finite (empty_set))) (-. (finite (empty_set))) (empty (empty_set)) ### Imply 1 2 % 2.53/2.73 4. (All A, ((empty A) => (finite A))) (empty (empty_set)) (-. (finite (empty_set))) ### All 3 % 2.53/2.73 5. ((finite_subsets (empty_set)) != (powerset (empty_set))) ((finite_subsets (empty_set)) = (powerset (empty_set))) ### Axiom % 2.53/2.73 6. ((finite (empty_set)) => ((finite_subsets (empty_set)) = (powerset (empty_set)))) ((finite_subsets (empty_set)) != (powerset (empty_set))) (empty (empty_set)) (All A, ((empty A) => (finite A))) ### Imply 4 5 % 2.53/2.73 7. (All A, ((finite A) => ((finite_subsets A) = (powerset A)))) (All A, ((empty A) => (finite A))) (empty (empty_set)) ((finite_subsets (empty_set)) != (powerset (empty_set))) ### All 6 % 2.53/2.73 8. ((singleton (empty_set)) != (singleton (empty_set))) ### Refl(=) % 2.53/2.73 9. ((singleton (empty_set)) != (singleton (empty_set))) ### Refl(=) % 2.53/2.73 10. ((finite_subsets (empty_set)) != (singleton (empty_set))) ((powerset (empty_set)) = (singleton (empty_set))) (empty (empty_set)) (All A, ((empty A) => (finite A))) (All A, ((finite A) => ((finite_subsets A) = (powerset A)))) ### TransEq 7 8 9 % 2.53/2.73 % SZS output end Proof % 2.53/2.73 (* END-PROOF *) %------------------------------------------------------------------------------