%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 : Sun Jul 17 07:24:31 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n010.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 Jun 29 11:22:04 EDT 2022 % 0.18/0.33 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem m__ : (exists W0 : zenon_U, (((aElementOf0 W0 (xS))/\((((aElementOf0 W0 (xS))/\(forall W1 : zenon_U, ((aElementOf0 W1 (xT))->(sdtlseqdt0 W1 W0))))\/(aUpperBoundOfIn0 W0 (xT) (xS)))/\(forall W1 : zenon_U, (((aElementOf0 W1 (xS))/\((forall W2 : zenon_U, ((aElementOf0 W2 (xT))->(sdtlseqdt0 W2 W1)))/\(aUpperBoundOfIn0 W1 (xT) (xS))))->(sdtlseqdt0 W0 W1)))))\/(aSupremumOfIn0 W0 (xT) (xS)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_and_s _ _ m__1330). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.20/0.51 apply zenon_G. exists (xp). apply NNPP. zenon_intro zenon_H2b. % 0.20/0.51 apply (zenon_notor_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.20/0.51 exact (zenon_H2c zenon_H29). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 381 % 0.20/0.51 max branch formulas: 416 % 0.20/0.51 proof nodes created: 11 % 0.20/0.51 formulas created: 4677 % 0.20/0.51 %------------------------------------------------------------------------------