%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 13:56:48 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jul 11 23:45:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  (* PROOF-FOUND *)
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  (* BEGIN-PROOF *)
% 0.18/0.48  % SZS output start Proof
% 0.18/0.48  Theorem prove_this : (((a)/\(b))->((a)<->(b))).
% 0.18/0.48  Proof.
% 0.18/0.48  apply NNPP. intro zenon_G.
% 0.18/0.48  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.18/0.48  apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.18/0.48  apply (zenon_notequiv_s _ _ zenon_H1); [ zenon_intro zenon_H6; zenon_intro zenon_H3 | zenon_intro zenon_H4; zenon_intro zenon_H5 ].
% 0.18/0.48  exact (zenon_H6 zenon_H4).
% 0.18/0.48  exact (zenon_H5 zenon_H3).
% 0.18/0.48  Qed.
% 0.18/0.48  % SZS output end Proof
% 0.18/0.48  (* END-PROOF *)
% 0.18/0.48  nodes searched: 4
% 0.18/0.48  max branch formulas: 5
% 0.18/0.48  proof nodes created: 4
% 0.18/0.48  formulas created: 58
% 0.18/0.48  
%------------------------------------------------------------------------------