%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM429+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 15:55:34 EDT 2022 % Result : Theorem 2.34s 2.58s % Output : Proof 2.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM429+1 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jul 6 00:15:36 EDT 2022 % 0.12/0.34 % CPUTime : % 2.34/2.58 (* PROOF-FOUND *) % 2.34/2.58 % SZS status Theorem % 2.34/2.58 (* BEGIN-PROOF *) % 2.34/2.58 % SZS output start Proof % 2.34/2.58 Theorem m__ : (exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))). % 2.34/2.58 Proof. % 2.34/2.58 assert (zenon_L1_ : ((aInteger0 (xq))/\((~((xq) = (sz00)))/\(exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))))) -> (~(exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) -> False). % 2.34/2.58 do 0 intro. intros zenon_H18 zenon_G. % 2.34/2.58 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 2.34/2.58 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 2.34/2.58 exact (zenon_G zenon_H1b). % 2.34/2.58 (* end of lemma zenon_L1_ *) % 2.34/2.58 apply NNPP. intro zenon_G. % 2.34/2.58 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 2.34/2.58 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 2.34/2.58 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H1a. zenon_intro zenon_H21. % 2.34/2.58 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H1c. zenon_intro zenon_H22. % 2.34/2.58 apply (zenon_and_s _ _ m__853). zenon_intro zenon_H24. zenon_intro zenon_H23. % 2.34/2.58 generalize (mDivisor (sdtpldt0 (xa) (smndt0 (xb)))). zenon_intro zenon_H25. % 2.34/2.58 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 2.34/2.58 generalize (mIntPlus (xa)). zenon_intro zenon_H28. % 2.34/2.58 generalize (zenon_H28 (smndt0 (xb))). zenon_intro zenon_H29. % 2.34/2.58 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 2.34/2.58 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 2.34/2.58 exact (zenon_H2d zenon_H1e). % 2.34/2.58 generalize (mIntNeg (xb)). zenon_intro zenon_H2e. % 2.34/2.58 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 2.34/2.58 exact (zenon_H30 zenon_H20). % 2.34/2.58 exact (zenon_H2c zenon_H2f). % 2.34/2.58 exact (zenon_H27 zenon_H2a). % 2.34/2.58 generalize (mEquMod (xa)). zenon_intro zenon_H31. % 2.34/2.58 generalize (zenon_H31 (xb)). zenon_intro zenon_H32. % 2.34/2.58 generalize (zenon_H26 (xq)). zenon_intro zenon_H33. % 2.34/2.58 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H34; zenon_intro zenon_H18 ]. % 2.34/2.58 generalize (zenon_H32 (xq)). zenon_intro zenon_H37. % 2.34/2.58 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 2.34/2.58 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H2d | zenon_intro zenon_H3a ]. % 2.34/2.58 exact (zenon_H2d zenon_H1e). % 2.34/2.58 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H30 | zenon_intro zenon_H3b ]. % 2.34/2.58 exact (zenon_H30 zenon_H20). % 2.34/2.58 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 2.34/2.58 exact (zenon_H3d zenon_H1a). % 2.34/2.58 exact (zenon_H3c zenon_H1c). % 2.34/2.58 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3e; zenon_intro zenon_H36 | zenon_intro zenon_H24; zenon_intro zenon_H34 ]. % 2.34/2.58 exact (zenon_H3e zenon_H24). % 2.34/2.58 exact (zenon_H36 zenon_H34). % 2.34/2.58 apply (zenon_L1_); trivial. % 2.34/2.58 Qed. % 2.34/2.58 % SZS output end Proof % 2.34/2.58 (* END-PROOF *) % 2.34/2.58 nodes searched: 13687 % 2.34/2.58 max branch formulas: 2986 % 2.34/2.58 proof nodes created: 571 % 2.34/2.58 formulas created: 135364 % 2.34/2.58 %------------------------------------------------------------------------------