TSTP Solution File: SYN386+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------