%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM427+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 15:55:33 EDT 2022 % Result : Theorem 1.47s 1.67s % Output : Proof 1.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM427+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n024.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jul 6 13:32:44 EDT 2022 % 0.12/0.34 % CPUTime : % 1.47/1.67 (* PROOF-FOUND *) % 1.47/1.67 % SZS status Theorem % 1.47/1.67 (* BEGIN-PROOF *) % 1.47/1.67 % SZS output start Proof % 1.47/1.67 Theorem m__ : (sdteqdtlpzmzozddtrp0 (xb) (xa) (xq)). % 1.47/1.67 Proof. % 1.47/1.67 apply NNPP. intro zenon_G. % 1.47/1.67 apply (zenon_and_s _ _ m__704). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 1.47/1.67 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 1.47/1.67 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 1.47/1.67 apply (zenon_and_s _ _ m__747). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 1.47/1.67 generalize (mEquMod (xb)). zenon_intro zenon_H21. % 1.47/1.67 generalize (zenon_H21 (xa)). zenon_intro zenon_H22. % 1.47/1.67 generalize (zenon_H22 (xq)). zenon_intro zenon_H23. % 1.47/1.67 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.47/1.67 exact (zenon_H27 zenon_H1c). % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.47/1.67 exact (zenon_H29 zenon_H1a). % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.47/1.67 exact (zenon_H2b zenon_H1e). % 1.47/1.67 exact (zenon_H2a zenon_H1d). % 1.47/1.67 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_G; zenon_intro zenon_H2e | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 1.47/1.67 generalize (mDivisor (sdtpldt0 (xb) (smndt0 (xa)))). zenon_intro zenon_H2f. % 1.47/1.67 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.47/1.67 generalize (mIntPlus (xb)). zenon_intro zenon_H32. % 1.47/1.67 generalize (zenon_H32 (smndt0 (xa))). zenon_intro zenon_H33. % 1.47/1.67 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H27 | zenon_intro zenon_H36 ]. % 1.47/1.67 exact (zenon_H27 zenon_H1c). % 1.47/1.67 generalize (mIntNeg (xa)). zenon_intro zenon_H37. % 1.47/1.67 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H29 | zenon_intro zenon_H38 ]. % 1.47/1.67 exact (zenon_H29 zenon_H1a). % 1.47/1.67 exact (zenon_H36 zenon_H38). % 1.47/1.67 exact (zenon_H31 zenon_H34). % 1.47/1.67 generalize (zenon_H30 (xq)). zenon_intro zenon_H39. % 1.47/1.67 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2e; zenon_intro zenon_H3b | zenon_intro zenon_H2c; zenon_intro zenon_H3a ]. % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H2b | zenon_intro zenon_H3c ]. % 1.47/1.67 exact (zenon_H2b zenon_H1e). % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H2a | zenon_intro zenon_H3d ]. % 1.47/1.67 exact (zenon_H2a zenon_H1d). % 1.47/1.67 apply zenon_H3d. exists (smndt0 (xn)). apply NNPP. zenon_intro zenon_H3e. % 1.47/1.67 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 1.47/1.67 generalize (mIntNeg (xn)). zenon_intro zenon_H41. % 1.47/1.67 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 1.47/1.67 exact (zenon_H43 zenon_H20). % 1.47/1.67 exact (zenon_H40 zenon_H42). % 1.47/1.67 exact (zenon_H3f m__767). % 1.47/1.67 exact (zenon_H2e zenon_H2c). % 1.47/1.67 exact (zenon_G zenon_H2d). % 1.47/1.67 Qed. % 1.47/1.67 % SZS output end Proof % 1.47/1.67 (* END-PROOF *) % 1.47/1.67 nodes searched: 15086 % 1.47/1.67 max branch formulas: 1721 % 1.47/1.67 proof nodes created: 766 % 1.47/1.67 formulas created: 89579 % 1.47/1.67 %------------------------------------------------------------------------------