%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 : Thu Jul 21 13:51:43 EDT 2022 % Result : Theorem 0.70s 0.88s % Output : Proof 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n008.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 : Mon Jul 11 13:18:53 EDT 2022 % 0.14/0.35 % CPUTime : % 0.70/0.88 (* PROOF-FOUND *) % 0.70/0.88 % SZS status Theorem % 0.70/0.88 (* BEGIN-PROOF *) % 0.70/0.88 % SZS output start Proof % 0.70/0.88 Theorem x2138 : (((forall X : zenon_U, (exists Y : zenon_U, (big_f X Y)))/\((exists X : zenon_U, (forall E : zenon_U, (exists N : zenon_U, (forall W : zenon_U, ((big_s N W)->(big_d W X E))))))/\(forall E : zenon_U, (exists D : zenon_U, (forall A : zenon_U, (forall B : zenon_U, ((big_d A B D)->(forall Y : zenon_U, (forall Z : zenon_U, (((big_f A Y)/\(big_f B Z))->(big_d Y Z E)))))))))))->(exists Y : zenon_U, (forall E : zenon_U, (exists M : zenon_U, (forall W : zenon_U, ((big_s M W)->(forall Z : zenon_U, ((big_f W Z)->(big_d Z Y E))))))))). % 0.70/0.88 Proof. % 0.70/0.88 apply NNPP. intro zenon_G. % 0.70/0.88 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.70/0.88 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.70/0.88 apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.70/0.88 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.70/0.88 generalize (zenon_H4 zenon_TX_h). zenon_intro zenon_H9. % 0.70/0.88 elim zenon_H9. zenon_intro zenon_TY_k. zenon_intro zenon_Hb. % 0.70/0.88 apply zenon_H1. exists zenon_TY_k. apply NNPP. zenon_intro zenon_Hc. % 0.70/0.88 apply (zenon_notallex_s (fun E : zenon_U => (exists M : zenon_U, (forall W : zenon_U, ((big_s M W)->(forall Z : zenon_U, ((big_f W Z)->(big_d Z zenon_TY_k E))))))) zenon_Hc); [ zenon_intro zenon_Hd; idtac ]. % 0.70/0.88 elim zenon_Hd. zenon_intro zenon_TE_o. zenon_intro zenon_Hf. % 0.70/0.88 generalize (zenon_H5 zenon_TE_o). zenon_intro zenon_H10. % 0.70/0.88 elim zenon_H10. zenon_intro zenon_TD_r. zenon_intro zenon_H12. % 0.70/0.88 generalize (zenon_H8 zenon_TD_r). zenon_intro zenon_H13. % 0.70/0.88 elim zenon_H13. zenon_intro zenon_TN_u. zenon_intro zenon_H15. % 0.70/0.88 apply zenon_Hf. exists zenon_TN_u. apply NNPP. zenon_intro zenon_H16. % 0.70/0.88 apply (zenon_notallex_s (fun W : zenon_U => ((big_s zenon_TN_u W)->(forall Z : zenon_U, ((big_f W Z)->(big_d Z zenon_TY_k zenon_TE_o))))) zenon_H16); [ zenon_intro zenon_H17; idtac ]. % 0.70/0.88 elim zenon_H17. zenon_intro zenon_TW_y. zenon_intro zenon_H19. % 0.70/0.88 apply (zenon_notimply_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.70/0.88 apply (zenon_notallex_s (fun Z : zenon_U => ((big_f zenon_TW_y Z)->(big_d Z zenon_TY_k zenon_TE_o))) zenon_H1a); [ zenon_intro zenon_H1c; idtac ]. % 0.70/0.88 elim zenon_H1c. zenon_intro zenon_TZ_bd. zenon_intro zenon_H1e. % 0.70/0.88 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.70/0.88 generalize (zenon_H12 zenon_TW_y). zenon_intro zenon_H21. % 0.70/0.88 generalize (zenon_H21 zenon_TX_h). zenon_intro zenon_H22. % 0.70/0.88 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.70/0.88 generalize (zenon_H15 zenon_TW_y). zenon_intro zenon_H25. % 0.70/0.88 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.70/0.88 exact (zenon_H27 zenon_H1b). % 0.70/0.88 exact (zenon_H24 zenon_H26). % 0.70/0.88 generalize (zenon_H23 zenon_TZ_bd). zenon_intro zenon_H28. % 0.70/0.88 generalize (zenon_H28 zenon_TY_k). zenon_intro zenon_H29. % 0.70/0.88 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.70/0.88 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.70/0.88 exact (zenon_H2d zenon_H20). % 0.70/0.88 exact (zenon_H2c zenon_Hb). % 0.70/0.88 exact (zenon_H1f zenon_H2a). % 0.70/0.88 Qed. % 0.70/0.88 % SZS output end Proof % 0.70/0.88 (* END-PROOF *) % 0.70/0.88 nodes searched: 4265 % 0.70/0.88 max branch formulas: 3894 % 0.70/0.88 proof nodes created: 335 % 0.70/0.88 formulas created: 172279 % 0.70/0.88 %------------------------------------------------------------------------------