%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN934+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n019.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 13:56:32 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN934+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 21:19:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  (* PROOF-FOUND *)
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  (* BEGIN-PROOF *)
% 0.20/0.50  % SZS output start Proof
% 0.20/0.50  Theorem prove_this : ((exists X : zenon_U, ((c)->(p X)))<->((c)->(exists X : zenon_U, (p X)))).
% 0.20/0.50  Proof.
% 0.20/0.50  assert (zenon_L1_ : (~(c)) -> (c) -> False).
% 0.20/0.50  do 0 intro. intros zenon_H2 zenon_H3.
% 0.20/0.50  exact (zenon_H2 zenon_H3).
% 0.20/0.50  (* end of lemma zenon_L1_ *)
% 0.20/0.50  apply NNPP. intro zenon_G.
% 0.20/0.50  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H0; zenon_intro zenon_H4 ].
% 0.20/0.50  apply (zenon_imply_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H7 ].
% 0.20/0.50  apply zenon_H6. exists zenon_E. apply NNPP. zenon_intro zenon_H8.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_H3. zenon_intro zenon_H9.
% 0.20/0.50  exact (zenon_H2 zenon_H3).
% 0.20/0.50  elim zenon_H7. zenon_intro zenon_TX_k. zenon_intro zenon_Hb.
% 0.20/0.50  apply zenon_H6. exists zenon_TX_k. apply NNPP. zenon_intro zenon_Hc.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_H3. zenon_intro zenon_Hd.
% 0.20/0.50  exact (zenon_Hd zenon_Hb).
% 0.20/0.50  elim zenon_H0. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.20/0.50  apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H3. zenon_intro zenon_H10.
% 0.20/0.50  apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H2 | zenon_intro zenon_H11 ].
% 0.20/0.50  exact (zenon_H2 zenon_H3).
% 0.20/0.50  apply zenon_H10. exists zenon_TX_o. apply NNPP. zenon_intro zenon_H12.
% 0.20/0.50  exact (zenon_H12 zenon_H11).
% 0.20/0.50  Qed.
% 0.20/0.50  % SZS output end Proof
% 0.20/0.50  (* END-PROOF *)
% 0.20/0.50  nodes searched: 19
% 0.20/0.50  max branch formulas: 11
% 0.20/0.50  proof nodes created: 14
% 0.20/0.50  formulas created: 107
% 0.20/0.50  
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