%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG089+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 20:48:26 EDT 2022 % Result : Theorem 0.15s 0.44s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : RNG089+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.10 % Command : run_zenon %s %d % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Mon May 30 18:04:57 EDT 2022 % 0.10/0.30 % CPUTime : % 0.15/0.44 (* PROOF-FOUND *) % 0.15/0.44 % SZS status Theorem % 0.15/0.44 (* BEGIN-PROOF *) % 0.15/0.44 % SZS output start Proof % 0.15/0.44 Theorem m__ : ((aElementOf0 (sdtasdt0 (xz) (xk)) (xI))/\(aElementOf0 (sdtasdt0 (xz) (xl)) (xJ))). % 0.15/0.44 Proof. % 0.15/0.44 apply NNPP. intro zenon_G. % 0.15/0.44 apply (zenon_and_s _ _ m__870). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.15/0.44 generalize (mDefIdeal (xI)). zenon_intro zenon_H20. % 0.15/0.44 apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_H23; zenon_intro zenon_H22 | zenon_intro zenon_H1f; zenon_intro zenon_H21 ]. % 0.15/0.44 exact (zenon_H23 zenon_H1f). % 0.15/0.44 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.15/0.44 generalize (mDefIdeal (xJ)). zenon_intro zenon_H26. % 0.15/0.44 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H1e; zenon_intro zenon_H27 ]. % 0.15/0.44 exact (zenon_H29 zenon_H1e). % 0.15/0.44 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.15/0.44 apply (zenon_and_s _ _ m__901). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.15/0.44 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.15/0.44 apply (zenon_and_s _ _ m__934). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.15/0.44 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.15/0.44 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.15/0.44 generalize (zenon_H24 (xk)). zenon_intro zenon_H36. % 0.15/0.44 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.15/0.44 exact (zenon_H38 zenon_H31). % 0.15/0.44 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.15/0.44 generalize (zenon_H39 (xz)). zenon_intro zenon_H3b. % 0.15/0.44 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.15/0.44 exact (zenon_H3d zenon_H2e). % 0.15/0.44 exact (zenon_H35 zenon_H3c). % 0.15/0.44 generalize (zenon_H2a (xl)). zenon_intro zenon_H3e. % 0.15/0.44 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.15/0.44 exact (zenon_H40 zenon_H33). % 0.15/0.44 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.15/0.44 generalize (zenon_H41 (xz)). zenon_intro zenon_H43. % 0.15/0.44 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H3d | zenon_intro zenon_H44 ]. % 0.15/0.44 exact (zenon_H3d zenon_H2e). % 0.15/0.44 exact (zenon_H34 zenon_H44). % 0.15/0.44 Qed. % 0.15/0.44 % SZS output end Proof % 0.15/0.44 (* END-PROOF *) % 0.15/0.44 nodes searched: 445 % 0.15/0.44 max branch formulas: 240 % 0.15/0.44 proof nodes created: 29 % 0.15/0.44 formulas created: 3421 % 0.15/0.44 %------------------------------------------------------------------------------