%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 0.45s 0.62s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n020.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 : Tue Jul 5 11:10:14 EDT 2022 % 0.12/0.34 % CPUTime : % 0.45/0.62 (* PROOF-FOUND *) % 0.45/0.62 % SZS status Theorem % 0.45/0.62 (* BEGIN-PROOF *) % 0.45/0.62 % SZS output start Proof % 0.45/0.62 Theorem m__ : (sdtlseqdt0 (xm) (xm)). % 0.45/0.62 Proof. % 0.45/0.62 apply NNPP. intro zenon_G. % 0.45/0.62 generalize (mDefLE (xm)). zenon_intro zenon_H15. % 0.45/0.62 generalize (zenon_H15 (xm)). zenon_intro zenon_H16. % 0.45/0.62 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_H19 | zenon_intro zenon_H19 ]. % 0.45/0.62 exact (zenon_H19 m__718). % 0.45/0.62 exact (zenon_H19 m__718). % 0.45/0.62 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_G; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ]. % 0.45/0.62 generalize (m_AddZero (xm)). zenon_intro zenon_H1d. % 0.45/0.62 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H19 | zenon_intro zenon_H1e ]. % 0.45/0.62 exact (zenon_H19 m__718). % 0.45/0.62 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.45/0.62 apply zenon_H1c. exists (sz00). apply NNPP. zenon_intro zenon_H21. % 0.45/0.62 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.45/0.62 exact (zenon_H23 mSortsC). % 0.45/0.62 exact (zenon_H22 zenon_H20). % 0.45/0.62 exact (zenon_G zenon_H1b). % 0.45/0.62 Qed. % 0.45/0.62 % SZS output end Proof % 0.45/0.62 (* END-PROOF *) % 0.45/0.62 nodes searched: 1165 % 0.45/0.62 max branch formulas: 735 % 0.45/0.62 proof nodes created: 56 % 0.45/0.62 formulas created: 14237 % 0.45/0.62 %------------------------------------------------------------------------------