%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN052+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n005.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 13:49:07 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN052+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n005.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 15:32:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.47  (* PROOF-FOUND *)
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  (* BEGIN-PROOF *)
% 0.18/0.47  % SZS output start Proof
% 0.18/0.47  Theorem pel22 : ((forall X : zenon_U, ((p)<->(big_f X)))->((p)<->(forall X1 : zenon_U, (big_f X1)))).
% 0.18/0.47  Proof.
% 0.18/0.47  assert (zenon_L1_ : (~(p)) -> (p) -> False).
% 0.18/0.47  do 0 intro. intros zenon_H2 zenon_H3.
% 0.18/0.47  exact (zenon_H2 zenon_H3).
% 0.18/0.47  (* end of lemma zenon_L1_ *)
% 0.18/0.47  apply NNPP. intro zenon_G.
% 0.18/0.47  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.18/0.47  apply (zenon_notequiv_s _ _ zenon_H4); [ zenon_intro zenon_H2; zenon_intro zenon_H0 | zenon_intro zenon_H3; zenon_intro zenon_H6 ].
% 0.18/0.47  generalize (zenon_H0 zenon_E). zenon_intro zenon_H7.
% 0.18/0.47  generalize (zenon_H5 zenon_E). zenon_intro zenon_H8.
% 0.18/0.47  apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_H2; zenon_intro zenon_H9 | zenon_intro zenon_H3; zenon_intro zenon_H7 ].
% 0.18/0.47  exact (zenon_H9 zenon_H7).
% 0.18/0.47  exact (zenon_H2 zenon_H3).
% 0.18/0.47  apply (zenon_notallex_s (fun X1 : zenon_U => (big_f X1)) zenon_H6); [ zenon_intro zenon_Ha; idtac ].
% 0.18/0.47  elim zenon_Ha. zenon_intro zenon_TX1_l. zenon_intro zenon_Hc.
% 0.18/0.47  generalize (zenon_H5 zenon_TX1_l). zenon_intro zenon_Hd.
% 0.18/0.47  apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_H2; zenon_intro zenon_Hc | zenon_intro zenon_H3; zenon_intro zenon_He ].
% 0.18/0.47  exact (zenon_H2 zenon_H3).
% 0.18/0.47  exact (zenon_Hc zenon_He).
% 0.18/0.47  Qed.
% 0.18/0.47  % SZS output end Proof
% 0.18/0.47  (* END-PROOF *)
% 0.18/0.47  nodes searched: 18
% 0.18/0.47  max branch formulas: 12
% 0.18/0.47  proof nodes created: 11
% 0.18/0.47  formulas created: 108
% 0.18/0.47  
%------------------------------------------------------------------------------