%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN053+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n015.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 13:49:08 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN053+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 13:11:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem pel23 : ((forall X : zenon_U, ((p)\/(big_f X)))<->((p)\/(forall X1 : zenon_U, (big_f X1)))).
% 0.19/0.50  Proof.
% 0.19/0.50  assert (zenon_L1_ : (~(p)) -> (p) -> False).
% 0.19/0.50  do 0 intro. intros zenon_H1 zenon_H2.
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  (* end of lemma zenon_L1_ *)
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H4; zenon_intro zenon_H3 ].
% 0.19/0.50  apply (zenon_notallex_s (fun X : zenon_U => ((p)\/(big_f X))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.19/0.50  elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9.
% 0.19/0.50  apply (zenon_notor_s _ _ zenon_H9). zenon_intro zenon_H1. zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_Hb ].
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  generalize (zenon_Hb zenon_TX_i). zenon_intro zenon_Hc.
% 0.19/0.50  exact (zenon_Ha zenon_Hc).
% 0.19/0.50  apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H1. zenon_intro zenon_Hd.
% 0.19/0.50  apply (zenon_notallex_s (fun X1 : zenon_U => (big_f X1)) zenon_Hd); [ zenon_intro zenon_He; idtac ].
% 0.19/0.50  elim zenon_He. zenon_intro zenon_TX1_p. zenon_intro zenon_H10.
% 0.19/0.50  generalize (zenon_H4 zenon_TX1_p). zenon_intro zenon_H11.
% 0.19/0.50  apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H2 | zenon_intro zenon_H12 ].
% 0.19/0.50  exact (zenon_H1 zenon_H2).
% 0.19/0.50  exact (zenon_H10 zenon_H12).
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 19
% 0.19/0.50  max branch formulas: 12
% 0.19/0.50  proof nodes created: 12
% 0.19/0.50  formulas created: 109
% 0.19/0.50  
%------------------------------------------------------------------------------