%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN065-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:40:22 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   15 (   2 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_5,plain,
    ! [A,B,C] :
      ( ~ big_g(A,B)
      | ~ big_f(B,C)
      | big_h(A,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),
    [] ).

cnf(166628664,plain,
    ( ~ big_g(A,B)
    | ~ big_f(B,C)
    | big_h(A,C) ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

fof(clause_2,plain,
    ! [A] : big_g(A,g(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),
    [] ).

cnf(166602432,plain,
    big_g(A,g(A)),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(174509552,plain,
    ( ~ big_f(g(A),B)
    | big_h(A,B) ),
    inference(resolution,[status(thm)],[166628664,166602432]),
    [] ).

fof(clause_7,plain,
    ! [A] : ~ big_h(a,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),
    [] ).

cnf(166643368,plain,
    ~ big_h(a,A),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(174597552,plain,
    ~ big_f(g(a),A),
    inference(resolution,[status(thm)],[174509552,166643368]),
    [] ).

fof(clause_1,plain,
    ! [A] : big_f(A,f(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),
    [] ).

cnf(166597640,plain,
    big_f(A,f(A)),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[174597552,166597640]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(~big_g(A,B)|~big_f(B,C)|big_h(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),[]).
% 
% cnf(166628664,plain,(~big_g(A,B)|~big_f(B,C)|big_h(A,C)),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% fof(clause_2,plain,(big_g(A,g(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),[]).
% 
% cnf(166602432,plain,(big_g(A,g(A))),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(174509552,plain,(~big_f(g(A),B)|big_h(A,B)),inference(resolution,[status(thm)],[166628664,166602432]),[]).
% 
% fof(clause_7,plain,(~big_h(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),[]).
% 
% cnf(166643368,plain,(~big_h(a,A)),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(174597552,plain,(~big_f(g(a),A)),inference(resolution,[status(thm)],[174509552,166643368]),[]).
% 
% fof(clause_1,plain,(big_f(A,f(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065-1.tptp',unknown),[]).
% 
% cnf(166597640,plain,(big_f(A,f(A))),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174597552,166597640]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------