%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG088+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 20:48:25 EDT 2022 % Result : Theorem 0.20s 0.55s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG088+1 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon May 30 22:21:57 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.55 (* PROOF-FOUND *) % 0.20/0.55 % SZS status Theorem % 0.20/0.55 (* BEGIN-PROOF *) % 0.20/0.55 % SZS output start Proof % 0.20/0.55 Theorem m__ : ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI))/\(aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))). % 0.20/0.55 Proof. % 0.20/0.55 apply NNPP. intro zenon_G. % 0.20/0.55 apply (zenon_and_s _ _ m__870). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.20/0.55 generalize (mDefIdeal (xI)). zenon_intro zenon_H1f. % 0.20/0.55 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H22; zenon_intro zenon_H21 | zenon_intro zenon_H1e; zenon_intro zenon_H20 ]. % 0.20/0.55 exact (zenon_H22 zenon_H1e). % 0.20/0.55 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.20/0.55 generalize (mDefIdeal (xJ)). zenon_intro zenon_H25. % 0.20/0.55 apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H28; zenon_intro zenon_H27 | zenon_intro zenon_H1d; zenon_intro zenon_H26 ]. % 0.20/0.55 exact (zenon_H28 zenon_H1d). % 0.20/0.55 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.20/0.55 apply (zenon_and_s _ _ m__934). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.20/0.55 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.20/0.55 apply (zenon_and_s _ _ m__967). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.20/0.55 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.20/0.55 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.20/0.55 generalize (zenon_H23 (xk)). zenon_intro zenon_H35. % 0.20/0.55 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.20/0.55 exact (zenon_H37 zenon_H2c). % 0.20/0.55 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.20/0.55 generalize (zenon_H39 (xm)). zenon_intro zenon_H3a. % 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.20/0.55 exact (zenon_H3c zenon_H30). % 0.20/0.55 exact (zenon_H34 zenon_H3b). % 0.20/0.55 generalize (zenon_H29 (xl)). zenon_intro zenon_H3d. % 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.20/0.55 exact (zenon_H3f zenon_H2e). % 0.20/0.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.20/0.55 generalize (zenon_H41 (xn)). zenon_intro zenon_H42. % 0.20/0.55 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.20/0.55 exact (zenon_H44 zenon_H32). % 0.20/0.55 exact (zenon_H33 zenon_H43). % 0.20/0.55 Qed. % 0.20/0.55 % SZS output end Proof % 0.20/0.55 (* END-PROOF *) % 0.20/0.55 nodes searched: 472 % 0.20/0.55 max branch formulas: 251 % 0.20/0.55 proof nodes created: 29 % 0.20/0.55 formulas created: 4305 % 0.20/0.55 %------------------------------------------------------------------------------