%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 15:55:55 EDT 2022 % Result : Theorem 5.84s 6.02s % Output : Proof 5.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM464+2 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.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 % 0.12/0.34 % DateTime : Thu Jul 7 10:38:37 EDT 2022 % 0.12/0.34 % CPUTime : % 5.84/6.02 (* PROOF-FOUND *) % 5.84/6.02 % SZS status Theorem % 5.84/6.02 (* BEGIN-PROOF *) % 5.84/6.02 % SZS output start Proof % 5.84/6.02 Theorem m__ : ((~((xm) = (sz00)))->((exists W0 : zenon_U, ((aNaturalNumber0 W0)/\((sdtpldt0 (sz10) W0) = (xm))))\/(sdtlseqdt0 (sz10) (xm)))). % 5.84/6.02 Proof. % 5.84/6.02 assert (zenon_L1_ : ((~((sz10) = (xm)))/\(sdtlseqdt0 (sz10) (xm))) -> (~(sdtlseqdt0 (sz10) (xm))) -> False). % 5.84/6.02 do 0 intro. intros zenon_H1c zenon_H1d. % 5.84/6.02 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 5.84/6.02 exact (zenon_H1d zenon_H1e). % 5.84/6.02 (* end of lemma zenon_L1_ *) % 5.84/6.02 apply NNPP. intro zenon_G. % 5.84/6.02 apply (zenon_and_s _ _ mSortsC_01). zenon_intro zenon_H21. zenon_intro zenon_H20. % 5.84/6.02 apply (zenon_and_s _ _ m__987). zenon_intro zenon_H23. zenon_intro zenon_H22. % 5.84/6.02 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H25. zenon_intro zenon_H24. % 5.84/6.02 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H1d. % 5.84/6.02 generalize (mLENTr (xm)). zenon_intro zenon_H27. % 5.84/6.02 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 5.84/6.02 exact (zenon_H29 zenon_H23). % 5.84/6.02 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 5.84/6.02 exact (zenon_H25 zenon_H2b). % 5.84/6.02 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H1c ]. % 5.84/6.02 generalize (mLETotal (sz10)). zenon_intro zenon_H2d. % 5.84/6.02 generalize (zenon_H2d (xm)). zenon_intro zenon_H2e. % 5.84/6.02 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 5.84/6.02 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H29 ]. % 5.84/6.02 exact (zenon_H31 zenon_H21). % 5.84/6.02 exact (zenon_H29 zenon_H23). % 5.84/6.02 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1e | zenon_intro zenon_H32 ]. % 5.84/6.02 exact (zenon_H1d zenon_H1e). % 5.84/6.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33. % 5.84/6.02 exact (zenon_H34 zenon_H2c). % 5.84/6.02 apply (zenon_L1_); trivial. % 5.84/6.02 Qed. % 5.84/6.02 % SZS output end Proof % 5.84/6.02 (* END-PROOF *) % 5.84/6.02 nodes searched: 44320 % 5.84/6.02 max branch formulas: 7773 % 5.84/6.02 proof nodes created: 1962 % 5.84/6.02 formulas created: 268247 % 5.84/6.02 %------------------------------------------------------------------------------