%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 15:55:35 EDT 2022 % Result : Theorem 1.90s 2.08s % Output : Proof 1.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM430+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n005.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 : Thu Jul 7 16:36:07 EDT 2022 % 0.13/0.34 % CPUTime : % 1.90/2.08 (* PROOF-FOUND *) % 1.90/2.08 % SZS status Theorem % 1.90/2.08 (* BEGIN-PROOF *) % 1.90/2.08 % SZS output start Proof % 1.90/2.08 Theorem m__ : (exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xb) (smndt0 (xc)))))). % 1.90/2.08 Proof. % 1.90/2.08 apply NNPP. intro zenon_G. % 1.90/2.08 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 1.90/2.08 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 1.90/2.08 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 1.90/2.08 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 1.90/2.08 apply (zenon_and_s _ _ m__853). zenon_intro zenon_H22. zenon_intro zenon_H21. % 1.90/2.08 generalize (mDivisor (sdtpldt0 (xb) (smndt0 (xc)))). zenon_intro zenon_H23. % 1.90/2.08 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 1.90/2.08 generalize (mIntPlus (xb)). zenon_intro zenon_H26. % 1.90/2.08 generalize (zenon_H26 (smndt0 (xc))). zenon_intro zenon_H27. % 1.90/2.08 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.90/2.08 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.90/2.08 exact (zenon_H2b zenon_H1c). % 1.90/2.08 generalize (mIntNeg (xc)). zenon_intro zenon_H2c. % 1.90/2.08 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 1.90/2.08 exact (zenon_H2e zenon_H1f). % 1.90/2.08 exact (zenon_H2a zenon_H2d). % 1.90/2.08 exact (zenon_H25 zenon_H28). % 1.90/2.08 generalize (mEquMod (xb)). zenon_intro zenon_H2f. % 1.90/2.08 generalize (zenon_H2f (xc)). zenon_intro zenon_H30. % 1.90/2.08 generalize (zenon_H24 (xq)). zenon_intro zenon_H31. % 1.90/2.08 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H32 ]. % 1.90/2.08 generalize (zenon_H30 (xq)). zenon_intro zenon_H36. % 1.90/2.08 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 1.90/2.08 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H2b | zenon_intro zenon_H39 ]. % 1.90/2.08 exact (zenon_H2b zenon_H1c). % 1.90/2.08 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ]. % 1.90/2.08 exact (zenon_H2e zenon_H1f). % 1.90/2.08 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 1.90/2.08 exact (zenon_H3c zenon_H1e). % 1.90/2.08 exact (zenon_H3b zenon_H20). % 1.90/2.08 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3d; zenon_intro zenon_H35 | zenon_intro zenon_H21; zenon_intro zenon_H33 ]. % 1.90/2.08 exact (zenon_H3d zenon_H21). % 1.90/2.08 exact (zenon_H35 zenon_H33). % 1.90/2.08 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H1e. zenon_intro zenon_H3e. % 1.90/2.08 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H20. zenon_intro zenon_H3f. % 1.90/2.08 exact (zenon_G zenon_H3f). % 1.90/2.08 Qed. % 1.90/2.08 % SZS output end Proof % 1.90/2.08 (* END-PROOF *) % 1.90/2.08 nodes searched: 8698 % 1.90/2.08 max branch formulas: 3047 % 1.90/2.08 proof nodes created: 402 % 1.90/2.08 formulas created: 116672 % 1.90/2.08 %------------------------------------------------------------------------------