%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN399+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 13:51:51 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  : SYN399+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n029.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 14:10:17 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 kalish223 : ((forall X : zenon_U, ((f X)<->(p)))->((forall Y : zenon_U, (f Y))<->(p))).
% 0.18/0.49  Proof.
% 0.18/0.49  assert (zenon_L1_ : (~(p)) -> (p) -> False).
% 0.18/0.49  do 0 intro. intros zenon_H2 zenon_H3.
% 0.18/0.49  exact (zenon_H2 zenon_H3).
% 0.18/0.49  (* end of lemma zenon_L1_ *)
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.18/0.49  apply (zenon_notequiv_s _ _ zenon_H4); [ zenon_intro zenon_H6; zenon_intro zenon_H3 | zenon_intro zenon_H0; zenon_intro zenon_H2 ].
% 0.18/0.49  apply (zenon_notallex_s (fun Y : zenon_U => (f Y)) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.18/0.49  elim zenon_H7. zenon_intro zenon_TY_i. zenon_intro zenon_H9.
% 0.18/0.49  generalize (zenon_H5 zenon_TY_i). zenon_intro zenon_Ha.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H9; zenon_intro zenon_H2 | zenon_intro zenon_Hb; zenon_intro zenon_H3 ].
% 0.18/0.49  exact (zenon_H2 zenon_H3).
% 0.18/0.49  exact (zenon_H9 zenon_Hb).
% 0.18/0.49  generalize (zenon_H0 zenon_E). zenon_intro zenon_Hc.
% 0.18/0.49  generalize (zenon_H5 zenon_E). zenon_intro zenon_Hd.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_He; zenon_intro zenon_H2 | zenon_intro zenon_Hc; zenon_intro zenon_H3 ].
% 0.18/0.49  exact (zenon_He zenon_Hc).
% 0.18/0.49  exact (zenon_H2 zenon_H3).
% 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: 12
% 0.18/0.49  proof nodes created: 11
% 0.18/0.49  formulas created: 108
% 0.18/0.49  
%------------------------------------------------------------------------------