%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM432+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 15:55:36 EDT 2022 % Result : Theorem 0.43s 0.61s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM432+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.11 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n009.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Wed Jul 6 03:24:07 EDT 2022 % 0.11/0.32 % CPUTime : % 0.43/0.61 (* PROOF-FOUND *) % 0.43/0.61 % SZS status Theorem % 0.43/0.61 (* BEGIN-PROOF *) % 0.43/0.61 % SZS output start Proof % 0.43/0.61 Theorem m__ : ((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xc))))))\/((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xc))))\/(sdteqdtlpzmzozddtrp0 (xa) (xc) (xq)))). % 0.43/0.61 Proof. % 0.43/0.61 apply NNPP. intro zenon_G. % 0.43/0.61 apply (zenon_and_s _ _ m__876). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.43/0.61 apply (zenon_and_s _ _ m__899). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.43/0.61 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.43/0.61 apply zenon_H20. exists (sdtpldt0 (xn) (xm)). apply NNPP. zenon_intro zenon_H21. % 0.43/0.61 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.43/0.61 generalize (mIntPlus (xn)). zenon_intro zenon_H24. % 0.43/0.61 generalize (zenon_H24 (xm)). zenon_intro zenon_H25. % 0.43/0.61 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.43/0.61 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.43/0.61 exact (zenon_H29 zenon_H1c). % 0.43/0.61 exact (zenon_H28 zenon_H1e). % 0.43/0.61 exact (zenon_H23 zenon_H26). % 0.43/0.61 exact (zenon_H22 m__924). % 0.43/0.61 Qed. % 0.43/0.61 % SZS output end Proof % 0.43/0.61 (* END-PROOF *) % 0.43/0.61 nodes searched: 1065 % 0.43/0.61 max branch formulas: 644 % 0.43/0.61 proof nodes created: 54 % 0.43/0.61 formulas created: 12596 % 0.43/0.61 %------------------------------------------------------------------------------