%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 13:49:31 EDT 2022

% Result   : Theorem 0.17s 0.48s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.32  % Computer : n020.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 : Mon Jul 11 19:57:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.48  (* PROOF-FOUND *)
% 0.17/0.48  % SZS status Theorem
% 0.17/0.48  (* BEGIN-PROOF *)
% 0.17/0.48  % SZS output start Proof
% 0.17/0.48  Theorem pel60 : (forall X : zenon_U, ((big_f X (f X))<->(exists Y : zenon_U, ((forall Z : zenon_U, ((big_f Z Y)->(big_f Z (f X))))/\(big_f X Y))))).
% 0.17/0.48  Proof.
% 0.17/0.48  apply NNPP. intro zenon_G.
% 0.17/0.48  apply (zenon_notallex_s (fun X : zenon_U => ((big_f X (f X))<->(exists Y : zenon_U, ((forall Z : zenon_U, ((big_f Z Y)->(big_f Z (f X))))/\(big_f X Y))))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.17/0.48  elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.17/0.48  apply (zenon_notequiv_s _ _ zenon_H3); [ zenon_intro zenon_H7; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H4 ].
% 0.17/0.48  elim zenon_H6. zenon_intro zenon_TY_i. zenon_intro zenon_H9.
% 0.17/0.48  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.17/0.48  generalize (zenon_Hb zenon_TX_c). zenon_intro zenon_Hc.
% 0.17/0.48  apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_Hd | zenon_intro zenon_H5 ].
% 0.17/0.48  exact (zenon_Hd zenon_Ha).
% 0.17/0.48  exact (zenon_H7 zenon_H5).
% 0.17/0.48  apply zenon_H4. exists (f zenon_TX_c). apply NNPP. zenon_intro zenon_He.
% 0.17/0.48  apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_Hf | zenon_intro zenon_H7 ].
% 0.17/0.48  apply (zenon_notallex_s (fun Z : zenon_U => ((big_f Z (f zenon_TX_c))->(big_f Z (f zenon_TX_c)))) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 0.17/0.48  elim zenon_H10. zenon_intro zenon_TZ_r. zenon_intro zenon_H12.
% 0.17/0.48  apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.17/0.48  exact (zenon_H13 zenon_H14).
% 0.17/0.48  exact (zenon_H7 zenon_H5).
% 0.17/0.48  Qed.
% 0.17/0.48  % SZS output end Proof
% 0.17/0.48  (* END-PROOF *)
% 0.17/0.48  nodes searched: 22
% 0.17/0.48  max branch formulas: 14
% 0.17/0.48  proof nodes created: 15
% 0.17/0.48  formulas created: 155
% 0.17/0.48  
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