%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 15:55:51 EDT 2022 % Result : Theorem 12.98s 13.15s % Output : Proof 12.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n021.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 05:22:33 EDT 2022 % 0.12/0.34 % CPUTime : % 12.98/13.15 (* PROOF-FOUND *) % 12.98/13.15 % SZS status Theorem % 12.98/13.15 (* BEGIN-PROOF *) % 12.98/13.15 % SZS output start Proof % 12.98/13.15 Theorem m__ : (((sdtasdt0 (xm) (xn)) = (sz00))->(((xm) = (sz00))\/((xn) = (sz00)))). % 12.98/13.15 Proof. % 12.98/13.15 apply NNPP. intro zenon_G. % 12.98/13.15 apply (zenon_and_s _ _ m__624). zenon_intro zenon_H13. zenon_intro zenon_H12. % 12.98/13.15 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H15. zenon_intro zenon_H14. % 12.98/13.15 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 12.98/13.15 generalize (mMulCanc (xn)). zenon_intro zenon_H18. % 12.98/13.15 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 12.98/13.15 exact (zenon_H1a zenon_H12). % 12.98/13.15 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 12.98/13.15 exact (zenon_H1c zenon_H16). % 12.98/13.15 generalize (zenon_H1b (xm)). zenon_intro zenon_H1d. % 12.98/13.15 generalize (zenon_H1d (sz00)). zenon_intro zenon_H1e. % 12.98/13.15 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 12.98/13.15 apply (zenon_notand_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 12.98/13.15 exact (zenon_H22 zenon_H13). % 12.98/13.15 exact (zenon_H21 mSortsC). % 12.98/13.15 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 12.98/13.15 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25. % 12.98/13.15 generalize (m_MulZero (xn)). zenon_intro zenon_H27. % 12.98/13.15 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H1a | zenon_intro zenon_H28 ]. % 12.98/13.15 exact (zenon_H1a zenon_H12). % 12.98/13.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 12.98/13.15 cut (((sdtasdt0 (xm) (xn)) = (sz00)) = ((sdtasdt0 (xm) (xn)) = (sdtasdt0 (sz00) (xn)))). % 12.98/13.15 intro zenon_D_pnotp. % 12.98/13.15 apply zenon_H25. % 12.98/13.15 rewrite <- zenon_D_pnotp. % 12.98/13.15 exact zenon_H15. % 12.98/13.15 cut (((sz00) = (sdtasdt0 (sz00) (xn)))); [idtac | apply NNPP; zenon_intro zenon_H2b]. % 12.98/13.15 cut (((sdtasdt0 (xm) (xn)) = (sdtasdt0 (xm) (xn)))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 12.98/13.15 congruence. % 12.98/13.15 apply zenon_H2c. apply refl_equal. % 12.98/13.15 exact (zenon_H2b zenon_H29). % 12.98/13.15 exact (zenon_H17 zenon_H23). % 12.98/13.15 Qed. % 12.98/13.15 % SZS output end Proof % 12.98/13.15 (* END-PROOF *) % 12.98/13.15 nodes searched: 54377 % 12.98/13.15 max branch formulas: 5820 % 12.98/13.15 proof nodes created: 3631 % 12.98/13.15 formulas created: 446873 % 12.98/13.15 %------------------------------------------------------------------------------