%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM584+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 : Mon Jul 18 15:57:04 EDT 2022 % Result : Theorem 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : NUM584+3 : TPTP v8.1.0. Released v4.0.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n020.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jul 5 03:31:14 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.54 (* PROOF-FOUND *) % 0.21/0.54 % SZS status Theorem % 0.21/0.54 (* BEGIN-PROOF *) % 0.21/0.54 % SZS output start Proof % 0.21/0.54 Theorem m__ : (((aElementOf0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) (sdtlpdtrp0 (xN) (xi)))/\(forall W0 : zenon_U, ((aElementOf0 W0 (sdtlpdtrp0 (xN) (xi)))->(sdtlseqdt0 (szmzizndt0 (sdtlpdtrp0 (xN) (xi))) W0))))->(((aSet0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))/\(forall W0 : zenon_U, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))<->((aElement0 W0)/\((aElementOf0 W0 (xQ))\/(W0 = (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))))))->((((forall W0 : zenon_U, ((aElementOf0 W0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))))->(aElementOf0 W0 (xS))))\/(aSubsetOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (xS)))/\((sbrdtbr0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi))))) = (xK)))\/(aElementOf0 (sdtpldt0 (xQ) (szmzizndt0 (sdtlpdtrp0 (xN) (xi)))) (slbdtsldtrb0 (xS) (xK)))))). % 0.21/0.54 Proof. % 0.21/0.54 apply NNPP. intro zenon_G. % 0.21/0.54 apply (zenon_and_s _ _ m__4007). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 0.21/0.54 apply (zenon_and_s _ _ m__4024). zenon_intro zenon_H59. zenon_intro zenon_H60. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H5b. zenon_intro zenon_H61. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H5d. zenon_intro zenon_H62. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H5f. zenon_intro zenon_H63. % 0.21/0.54 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H67. zenon_intro zenon_H66. % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_H66). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.21/0.54 apply (zenon_notor_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.21/0.54 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.21/0.54 apply (zenon_notor_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.21/0.54 exact (zenon_H6f zenon_H65). % 0.21/0.54 exact (zenon_H6c zenon_H5e). % 0.21/0.54 Qed. % 0.21/0.54 % SZS output end Proof % 0.21/0.54 (* END-PROOF *) % 0.21/0.54 nodes searched: 17 % 0.21/0.54 max branch formulas: 132 % 0.21/0.54 proof nodes created: 7 % 0.21/0.54 formulas created: 1975 % 0.21/0.54 %------------------------------------------------------------------------------