%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 15:55:31 EDT 2022 % Result : Theorem 1.83s 2.00s % Output : Proof 1.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n008.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 : Tue Jul 5 18:39:38 EDT 2022 % 0.12/0.33 % CPUTime : % 1.83/2.00 (* PROOF-FOUND *) % 1.83/2.00 % SZS status Theorem % 1.83/2.00 (* BEGIN-PROOF *) % 1.83/2.00 % SZS output start Proof % 1.83/2.00 Theorem m__ : ((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xa))))))\/((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xa))))\/(sdteqdtlpzmzozddtrp0 (xa) (xa) (xq)))). % 1.83/2.00 Proof. % 1.83/2.00 apply NNPP. intro zenon_G. % 1.83/2.00 apply (zenon_and_s _ _ m__671). zenon_intro zenon_H16. zenon_intro zenon_H15. % 1.83/2.00 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 1.83/2.00 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 1.83/2.00 apply zenon_H1a. exists (sz00). apply NNPP. zenon_intro zenon_H1b. % 1.83/2.00 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 1.83/2.00 exact (zenon_H1d mIntZero). % 1.83/2.00 generalize (mAddComm (smndt0 (xa))). zenon_intro zenon_H1e. % 1.83/2.00 generalize (mAddNeg (xa)). zenon_intro zenon_H1f. % 1.83/2.00 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 1.83/2.00 exact (zenon_H21 zenon_H16). % 1.83/2.00 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 1.83/2.00 generalize (mMulZero (xq)). zenon_intro zenon_H24. % 1.83/2.00 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 1.83/2.00 exact (zenon_H26 zenon_H18). % 1.83/2.00 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27. % 1.83/2.00 generalize (zenon_H1e (xa)). zenon_intro zenon_H29. % 1.83/2.00 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 1.83/2.00 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2c | zenon_intro zenon_H21 ]. % 1.83/2.00 generalize (mIntNeg (xa)). zenon_intro zenon_H2d. % 1.83/2.00 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H21 | zenon_intro zenon_H2e ]. % 1.83/2.00 exact (zenon_H21 zenon_H16). % 1.83/2.00 exact (zenon_H2c zenon_H2e). % 1.83/2.00 exact (zenon_H21 zenon_H16). % 1.83/2.00 cut (((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) = ((sdtasdt0 (xq) (sz00)) = (sdtpldt0 (xa) (smndt0 (xa))))). % 1.83/2.00 intro zenon_D_pnotp. % 1.83/2.00 apply zenon_H1c. % 1.83/2.00 rewrite <- zenon_D_pnotp. % 1.83/2.00 exact zenon_H22. % 1.83/2.00 cut (((sdtpldt0 (smndt0 (xa)) (xa)) = (sdtpldt0 (xa) (smndt0 (xa))))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 1.83/2.00 cut (((sz00) = (sdtasdt0 (xq) (sz00)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 1.83/2.00 congruence. % 1.83/2.00 elim (classic ((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00)))); [ zenon_intro zenon_H31 | zenon_intro zenon_H32 ]. % 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00))) = ((sz00) = (sdtasdt0 (xq) (sz00)))). % 1.83/2.00 intro zenon_D_pnotp. % 1.83/2.00 apply zenon_H30. % 1.83/2.00 rewrite <- zenon_D_pnotp. % 1.83/2.00 exact zenon_H31. % 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00)))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 1.83/2.00 congruence. % 1.83/2.00 exact (zenon_H33 zenon_H28). % 1.83/2.00 apply zenon_H32. apply refl_equal. % 1.83/2.00 apply zenon_H32. apply refl_equal. % 1.83/2.00 exact (zenon_H2f zenon_H2a). % 1.83/2.00 Qed. % 1.83/2.00 % SZS output end Proof % 1.83/2.00 (* END-PROOF *) % 1.83/2.00 nodes searched: 8232 % 1.83/2.00 max branch formulas: 2373 % 1.83/2.00 proof nodes created: 458 % 1.83/2.00 formulas created: 95541 % 1.83/2.00 %------------------------------------------------------------------------------