%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM432+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 2.33s 2.51s % Output : Proof 2.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : NUM432+1 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n016.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Thu Jul 7 22:35:07 EDT 2022 % 0.13/0.33 % CPUTime : % 2.33/2.51 (* PROOF-FOUND *) % 2.33/2.51 % SZS status Theorem % 2.33/2.51 (* BEGIN-PROOF *) % 2.33/2.51 % SZS output start Proof % 2.33/2.51 Theorem m__ : (sdteqdtlpzmzozddtrp0 (xa) (xc) (xq)). % 2.33/2.51 Proof. % 2.33/2.51 apply NNPP. intro zenon_G. % 2.33/2.51 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 2.33/2.51 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 2.33/2.51 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 2.33/2.51 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 2.33/2.51 apply (zenon_and_s _ _ m__876). zenon_intro zenon_H24. zenon_intro zenon_H23. % 2.33/2.51 apply (zenon_and_s _ _ m__899). zenon_intro zenon_H26. zenon_intro zenon_H25. % 2.33/2.51 generalize (mEquMod (xa)). zenon_intro zenon_H27. % 2.33/2.51 generalize (zenon_H27 (xc)). zenon_intro zenon_H28. % 2.33/2.51 generalize (zenon_H28 (xq)). zenon_intro zenon_H29. % 2.33/2.51 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 2.33/2.51 exact (zenon_H2d zenon_H1c). % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 2.33/2.51 exact (zenon_H2f zenon_H21). % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 2.33/2.51 exact (zenon_H31 zenon_H20). % 2.33/2.51 exact (zenon_H30 zenon_H22). % 2.33/2.51 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_G; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H32 ]. % 2.33/2.51 generalize (mDivisor (sdtpldt0 (xa) (smndt0 (xc)))). zenon_intro zenon_H35. % 2.33/2.51 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 2.33/2.51 generalize (mIntPlus (xa)). zenon_intro zenon_H38. % 2.33/2.51 generalize (zenon_H38 (smndt0 (xc))). zenon_intro zenon_H39. % 2.33/2.51 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H2d | zenon_intro zenon_H3c ]. % 2.33/2.51 exact (zenon_H2d zenon_H1c). % 2.33/2.51 generalize (mIntNeg (xc)). zenon_intro zenon_H3d. % 2.33/2.51 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2f | zenon_intro zenon_H3e ]. % 2.33/2.51 exact (zenon_H2f zenon_H21). % 2.33/2.51 exact (zenon_H3c zenon_H3e). % 2.33/2.51 exact (zenon_H37 zenon_H3a). % 2.33/2.51 generalize (zenon_H36 (xq)). zenon_intro zenon_H3f. % 2.33/2.51 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H34; zenon_intro zenon_H41 | zenon_intro zenon_H32; zenon_intro zenon_H40 ]. % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H31 | zenon_intro zenon_H42 ]. % 2.33/2.51 exact (zenon_H31 zenon_H20). % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H30 | zenon_intro zenon_H43 ]. % 2.33/2.51 exact (zenon_H30 zenon_H22). % 2.33/2.51 apply zenon_H43. exists (sdtpldt0 (xn) (xm)). apply NNPP. zenon_intro zenon_H44. % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 2.33/2.51 generalize (mIntPlus (xn)). zenon_intro zenon_H47. % 2.33/2.51 generalize (zenon_H47 (xm)). zenon_intro zenon_H48. % 2.33/2.51 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 2.33/2.51 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 2.33/2.51 exact (zenon_H4c zenon_H24). % 2.33/2.51 exact (zenon_H4b zenon_H26). % 2.33/2.51 exact (zenon_H46 zenon_H49). % 2.33/2.51 exact (zenon_H45 m__924). % 2.33/2.51 exact (zenon_H34 zenon_H32). % 2.33/2.51 exact (zenon_G zenon_H33). % 2.33/2.51 Qed. % 2.33/2.51 % SZS output end Proof % 2.33/2.51 (* END-PROOF *) % 2.33/2.51 nodes searched: 15748 % 2.33/2.51 max branch formulas: 3232 % 2.33/2.51 proof nodes created: 735 % 2.33/2.51 formulas created: 135139 % 2.33/2.51 %------------------------------------------------------------------------------