%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 15:56:45 EDT 2022 % Result : Theorem 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n024.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Tue Jul 5 16:10:59 EDT 2022 % 0.12/0.32 % CPUTime : % 0.41/0.61 (* PROOF-FOUND *) % 0.41/0.61 % SZS status Theorem % 0.41/0.61 (* BEGIN-PROOF *) % 0.41/0.61 % SZS output start Proof % 0.41/0.61 Theorem m__ : (exists W0 : zenon_U, ((aElement0 W0)/\(aElementOf0 W0 (xQ)))). % 0.41/0.61 Proof. % 0.41/0.61 apply NNPP. intro zenon_G. % 0.41/0.61 apply (zenon_and_s _ _ m__2270). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.41/0.61 apply (zenon_notor_s _ _ m__2313). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.41/0.61 apply zenon_H47. zenon_intro zenon_H48. % 0.41/0.61 elim zenon_H48. zenon_intro zenon_TW0_cv. zenon_intro zenon_H4a. % 0.41/0.61 apply zenon_G. exists zenon_TW0_cv. apply NNPP. zenon_intro zenon_H4b. % 0.41/0.61 apply (zenon_notand_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.41/0.61 generalize (mEOfElem (xQ)). zenon_intro zenon_H4e. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ]. % 0.41/0.61 exact (zenon_H50 zenon_H45). % 0.41/0.61 generalize (zenon_H4f zenon_TW0_cv). zenon_intro zenon_H51. % 0.41/0.61 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H4c | zenon_intro zenon_H52 ]. % 0.41/0.61 exact (zenon_H4c zenon_H4a). % 0.41/0.61 exact (zenon_H4d zenon_H52). % 0.41/0.61 exact (zenon_H4c zenon_H4a). % 0.41/0.61 Qed. % 0.41/0.61 % SZS output end Proof % 0.41/0.61 (* END-PROOF *) % 0.41/0.61 nodes searched: 4128 % 0.41/0.61 max branch formulas: 1419 % 0.41/0.61 proof nodes created: 77 % 0.41/0.61 formulas created: 27915 % 0.41/0.61 %------------------------------------------------------------------------------