%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN358+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n013.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 13:51:29 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
% 0.12/0.12  % Problem  : SYN358+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n013.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 : Tue Jul 12 00:14:14 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 x2109 : ((exists X : zenon_U, ((p)/\(big_q X)))<->((p)/\(exists X : zenon_U, (big_q X)))).
% 0.20/0.50  Proof.
% 0.20/0.50  assert (zenon_L1_ : (~(p)) -> (p) -> False).
% 0.20/0.50  do 0 intro. intros zenon_H1 zenon_H2.
% 0.20/0.50  exact (zenon_H1 zenon_H2).
% 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_H4; zenon_intro zenon_H3 ].
% 0.20/0.50  apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H2. zenon_intro zenon_H7.
% 0.20/0.50  elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9.
% 0.20/0.50  apply zenon_H6. exists zenon_TX_i. apply NNPP. zenon_intro zenon_Ha.
% 0.20/0.50  apply (zenon_notand_s _ _ zenon_Ha); [ zenon_intro zenon_H1 | zenon_intro zenon_Hb ].
% 0.20/0.50  exact (zenon_H1 zenon_H2).
% 0.20/0.50  exact (zenon_Hb zenon_H9).
% 0.20/0.50  elim zenon_H4. zenon_intro zenon_TX_m. zenon_intro zenon_Hd.
% 0.20/0.50  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H2. zenon_intro zenon_He.
% 0.20/0.50  apply (zenon_notand_s _ _ zenon_H3); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf ].
% 0.20/0.50  exact (zenon_H1 zenon_H2).
% 0.20/0.50  apply zenon_Hf. exists zenon_TX_m. apply NNPP. zenon_intro zenon_H10.
% 0.20/0.50  exact (zenon_H10 zenon_He).
% 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: 17
% 0.20/0.50  max branch formulas: 11
% 0.20/0.50  proof nodes created: 12
% 0.20/0.50  formulas created: 101
% 0.20/0.50  
%------------------------------------------------------------------------------