%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n006.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 13:51:04 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n006.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 : Mon Jul 11 19:23:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem church_46_4_2 : (exists Y : zenon_U, ((forall X : zenon_U, (((big_f X Y)->(big_f Y X))->(big_g X Y)))->(~(forall X : zenon_U, (((big_f X Y)->(big_f Y X))->(~(big_g X Y))))))).
% 0.18/0.49  Proof.
% 0.18/0.49  assert (zenon_L1_ : (~((big_f zenon_E zenon_E)->(big_f zenon_E zenon_E))) -> False).
% 0.18/0.49  do 0 intro. intros zenon_H2.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.18/0.49  exact (zenon_H3 zenon_H4).
% 0.18/0.49  (* end of lemma zenon_L1_ *)
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H5.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.18/0.49  apply zenon_H6. zenon_intro zenon_H8.
% 0.18/0.49  generalize (zenon_H7 zenon_E). zenon_intro zenon_H9.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_H2 | zenon_intro zenon_Ha ].
% 0.18/0.49  apply (zenon_L1_); trivial.
% 0.18/0.49  generalize (zenon_H8 zenon_E). zenon_intro zenon_Hb.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_H2 | zenon_intro zenon_Hc ].
% 0.18/0.49  apply (zenon_L1_); trivial.
% 0.18/0.49  exact (zenon_Hc zenon_Ha).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 18
% 0.18/0.49  max branch formulas: 17
% 0.18/0.49  proof nodes created: 11
% 0.18/0.49  formulas created: 176
% 0.18/0.49  
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