%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN079-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 16:42:24 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 :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_3,plain,
    ! [A,B,C] :
      ( ~ big_f(A,B)
      | ~ big_f(B,C)
      | big_f(A,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),
    [] ).

cnf(148803064,plain,
    ( ~ big_f(A,B)
    | ~ big_f(B,C)
    | big_f(A,C) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

fof(clause_2,plain,
    big_f(f(b,c),f(a,c)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),
    [] ).

cnf(148795104,plain,
    big_f(f(b,c),f(a,c)),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(156632096,plain,
    ( ~ big_f(A,f(b,c))
    | big_f(A,f(a,c)) ),
    inference(resolution,[status(thm)],[148803064,148795104]),
    [] ).

fof(clause_1,plain,
    big_f(f(a,b),f(b,c)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),
    [] ).

cnf(148791096,plain,
    big_f(f(a,b),f(b,c)),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(156641416,plain,
    big_f(f(a,b),f(a,c)),
    inference(resolution,[status(thm)],[156632096,148791096]),
    [] ).

fof(prove_this,plain,
    ~ big_f(f(a,b),f(a,c)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),
    [] ).

cnf(148806976,plain,
    ~ big_f(f(a,b),f(a,c)),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[156641416,148806976]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_3,plain,(~big_f(A,B)|~big_f(B,C)|big_f(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),[]).
% 
% cnf(148803064,plain,(~big_f(A,B)|~big_f(B,C)|big_f(A,C)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% fof(clause_2,plain,(big_f(f(b,c),f(a,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),[]).
% 
% cnf(148795104,plain,(big_f(f(b,c),f(a,c))),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(156632096,plain,(~big_f(A,f(b,c))|big_f(A,f(a,c))),inference(resolution,[status(thm)],[148803064,148795104]),[]).
% 
% fof(clause_1,plain,(big_f(f(a,b),f(b,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),[]).
% 
% cnf(148791096,plain,(big_f(f(a,b),f(b,c))),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(156641416,plain,(big_f(f(a,b),f(a,c))),inference(resolution,[status(thm)],[156632096,148791096]),[]).
% 
% fof(prove_this,plain,(~big_f(f(a,b),f(a,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079-1.tptp',unknown),[]).
% 
% cnf(148806976,plain,(~big_f(f(a,b),f(a,c))),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156641416,148806976]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------