%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 15:56:34 EDT 2022 % Result : Theorem 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n015.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Wed Jul 6 03:34:18 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.52 (* PROOF-FOUND *) % 0.21/0.52 % SZS status Theorem % 0.21/0.52 (* BEGIN-PROOF *) % 0.21/0.52 % SZS output start Proof % 0.21/0.52 Theorem m__ : (((forall W0 : zenon_U, ((aElementOf0 W0 (xA))->(aElementOf0 W0 (xB))))/\((aSubsetOf0 (xA) (xB))/\((forall W0 : zenon_U, ((aElementOf0 W0 (xB))->(aElementOf0 W0 (xC))))/\(aSubsetOf0 (xB) (xC)))))->((forall W0 : zenon_U, ((aElementOf0 W0 (xA))->(aElementOf0 W0 (xC))))\/(aSubsetOf0 (xA) (xC)))). % 0.21/0.52 Proof. % 0.21/0.52 apply NNPP. intro zenon_G. % 0.21/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.21/0.52 apply (zenon_notor_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.21/0.52 apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xA))->(aElementOf0 W0 (xC)))) zenon_H12); [ zenon_intro zenon_H19; idtac ]. % 0.21/0.52 elim zenon_H19. zenon_intro zenon_TW0_ba. zenon_intro zenon_H1b. % 0.21/0.52 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.21/0.52 generalize (zenon_H18 zenon_TW0_ba). zenon_intro zenon_H1e. % 0.21/0.52 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.21/0.52 generalize (zenon_H14 zenon_TW0_ba). zenon_intro zenon_H21. % 0.21/0.52 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.21/0.52 exact (zenon_H23 zenon_H1d). % 0.21/0.52 exact (zenon_H20 zenon_H22). % 0.21/0.52 exact (zenon_H1c zenon_H1f). % 0.21/0.52 Qed. % 0.21/0.52 % SZS output end Proof % 0.21/0.52 (* END-PROOF *) % 0.21/0.52 nodes searched: 149 % 0.21/0.52 max branch formulas: 145 % 0.21/0.52 proof nodes created: 18 % 0.21/0.52 formulas created: 954 % 0.21/0.52 %------------------------------------------------------------------------------