%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN398+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 13:51:51 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
% 0.07/0.12  % Problem  : SYN398+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % 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 20:14:52 EDT 2022
% 0.12/0.33  % 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 kalish215 : ((forall X : zenon_U, ((p)/\(f X)))<->((p)/\(forall Y : zenon_U, (f Y)))).
% 0.19/0.50  Proof.
% 0.19/0.50  assert (zenon_L1_ : (~(p)) -> (p) -> False).
% 0.19/0.50  do 0 intro. intros zenon_H2 zenon_H3.
% 0.19/0.50  exact (zenon_H2 zenon_H3).
% 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_H0; zenon_intro zenon_H4 ].
% 0.19/0.50  apply (zenon_notallex_s (fun X : zenon_U => ((p)/\(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_and_s _ _ zenon_H5). zenon_intro zenon_H3. zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H9); [ zenon_intro zenon_H2 | zenon_intro zenon_Hb ].
% 0.19/0.50  exact (zenon_H2 zenon_H3).
% 0.19/0.50  generalize (zenon_Ha zenon_TX_i). zenon_intro zenon_Hc.
% 0.19/0.50  exact (zenon_Hb zenon_Hc).
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H4); [ zenon_intro zenon_H2 | zenon_intro zenon_Hd ].
% 0.19/0.50  generalize (zenon_H0 zenon_E). zenon_intro zenon_He.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H3. zenon_intro zenon_Hf.
% 0.19/0.50  exact (zenon_H2 zenon_H3).
% 0.19/0.50  apply (zenon_notallex_s (fun Y : zenon_U => (f Y)) zenon_Hd); [ zenon_intro zenon_H10; idtac ].
% 0.19/0.50  elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.19/0.50  generalize (zenon_H0 zenon_TY_r). zenon_intro zenon_H13.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H3. zenon_intro zenon_H14.
% 0.19/0.50  exact (zenon_H12 zenon_H14).
% 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: 21
% 0.19/0.50  max branch formulas: 12
% 0.19/0.50  proof nodes created: 14
% 0.19/0.50  formulas created: 113
% 0.19/0.50  
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