%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 15:56:50 EDT 2022 % Result : Theorem 0.18s 0.52s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.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 : Tue Jul 5 12:06:52 EDT 2022 % 0.12/0.34 % CPUTime : % 0.18/0.52 (* PROOF-FOUND *) % 0.18/0.52 % SZS status Theorem % 0.18/0.52 (* BEGIN-PROOF *) % 0.18/0.52 % SZS output start Proof % 0.18/0.52 Theorem m__ : (((aSet0 (sdtlbdtrb0 (xF) (xy)))/\(forall W0 : zenon_U, ((aElementOf0 W0 (sdtlbdtrb0 (xF) (xy)))<->((aElementOf0 W0 (szDzozmdt0 (xF)))/\((sdtlpdtrp0 (xF) W0) = (xy))))))->((forall W0 : zenon_U, ((aElementOf0 W0 (sdtlbdtrb0 (xF) (xy)))->(aElementOf0 W0 (szDzozmdt0 (xF)))))\/(aSubsetOf0 (sdtlbdtrb0 (xF) (xy)) (szDzozmdt0 (xF))))). % 0.18/0.52 Proof. % 0.18/0.52 apply NNPP. intro zenon_G. % 0.18/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.18/0.52 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.18/0.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.18/0.52 apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (sdtlbdtrb0 (xF) (xy)))->(aElementOf0 W0 (szDzozmdt0 (xF))))) zenon_H47); [ zenon_intro zenon_H4a; idtac ]. % 0.18/0.52 elim zenon_H4a. zenon_intro zenon_TW0_cx. zenon_intro zenon_H4c. % 0.18/0.52 apply (zenon_notimply_s _ _ zenon_H4c). zenon_intro zenon_H4e. zenon_intro zenon_H4d. % 0.18/0.52 generalize (zenon_H48 zenon_TW0_cx). zenon_intro zenon_H4f. % 0.18/0.52 apply (zenon_equiv_s _ _ zenon_H4f); [ zenon_intro zenon_H52; zenon_intro zenon_H51 | zenon_intro zenon_H4e; zenon_intro zenon_H50 ]. % 0.18/0.52 exact (zenon_H52 zenon_H4e). % 0.18/0.52 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H54. zenon_intro zenon_H53. % 0.18/0.52 exact (zenon_H4d zenon_H54). % 0.18/0.52 Qed. % 0.18/0.52 % SZS output end Proof % 0.18/0.52 (* END-PROOF *) % 0.18/0.52 nodes searched: 551 % 0.18/0.52 max branch formulas: 571 % 0.18/0.52 proof nodes created: 14 % 0.18/0.52 formulas created: 6232 % 0.18/0.52 %------------------------------------------------------------------------------