%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL181+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 : Sun Jul 17 16:19:55 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
% 0.11/0.12  % Problem  : LCL181+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul  4 03:38:57 EDT 2022
% 0.11/0.33  % 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 pel4 : (((~(p))->(q))<->((~(q))->(p))).
% 0.18/0.47  Proof.
% 0.18/0.47  assert (zenon_L1_ : (~(q)) -> (q) -> False).
% 0.18/0.47  do 0 intro. intros zenon_H1 zenon_H2.
% 0.18/0.47  exact (zenon_H1 zenon_H2).
% 0.18/0.47  (* end of lemma zenon_L1_ *)
% 0.18/0.47  assert (zenon_L2_ : (~(p)) -> (p) -> False).
% 0.18/0.47  do 0 intro. intros zenon_H3 zenon_H4.
% 0.18/0.47  exact (zenon_H3 zenon_H4).
% 0.18/0.47  (* end of lemma zenon_L2_ *)
% 0.18/0.47  apply NNPP. intro zenon_G.
% 0.18/0.47  apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ].
% 0.18/0.47  apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_H3. zenon_intro zenon_H1.
% 0.18/0.47  apply (zenon_imply_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H4 ].
% 0.18/0.47  exact (zenon_H9 zenon_H1).
% 0.18/0.47  exact (zenon_H3 zenon_H4).
% 0.18/0.47  apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H1. zenon_intro zenon_H3.
% 0.18/0.47  apply (zenon_imply_s _ _ zenon_H6); [ zenon_intro zenon_Ha | zenon_intro zenon_H2 ].
% 0.18/0.47  exact (zenon_Ha zenon_H3).
% 0.18/0.47  exact (zenon_H1 zenon_H2).
% 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: 9
% 0.18/0.47  max branch formulas: 7
% 0.18/0.47  proof nodes created: 9
% 0.18/0.47  formulas created: 61
% 0.18/0.47  
%------------------------------------------------------------------------------