%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM532+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 15:56:34 EDT 2022 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : NUM532+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n026.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Tue Jul 5 08:27:37 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.48 (* PROOF-FOUND *) % 0.19/0.48 % SZS status Theorem % 0.19/0.48 (* BEGIN-PROOF *) % 0.19/0.48 % SZS output start Proof % 0.19/0.48 Theorem m__ : (aSubsetOf0 (xA) (xA)). % 0.19/0.48 Proof. % 0.19/0.48 apply NNPP. intro zenon_G. % 0.19/0.48 generalize (mDefSub (xA)). zenon_intro zenon_Hd. % 0.19/0.48 apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.19/0.48 exact (zenon_Hf m__467). % 0.19/0.48 generalize (zenon_He (xA)). zenon_intro zenon_H10. % 0.19/0.48 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_G; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ]. % 0.19/0.48 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_Hf | zenon_intro zenon_H14 ]. % 0.19/0.48 exact (zenon_Hf m__467). % 0.19/0.48 apply (zenon_notallex_s (fun W2 : zenon_U => ((aElementOf0 W2 (xA))->(aElementOf0 W2 (xA)))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.19/0.48 elim zenon_H15. zenon_intro zenon_TW2_w. zenon_intro zenon_H17. % 0.19/0.48 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.19/0.48 exact (zenon_H18 zenon_H19). % 0.19/0.48 exact (zenon_G zenon_H12). % 0.19/0.48 Qed. % 0.19/0.48 % SZS output end Proof % 0.19/0.48 (* END-PROOF *) % 0.19/0.48 nodes searched: 70 % 0.19/0.48 max branch formulas: 75 % 0.19/0.48 proof nodes created: 14 % 0.19/0.48 formulas created: 461 % 0.19/0.48 %------------------------------------------------------------------------------