%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN083+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 16:42:43 EDT 2009

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p61_1,plain,
    ! [A,B,C] : $equal(f(f(A,B),C),f(A,f(B,C))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN083+1.tptp',unknown),
    [] ).

cnf(173819880,plain,
    $equal(f(f(A,B),C),f(A,f(B,C))),
    inference(rewrite,[status(thm)],[p61_1]),
    [] ).

fof(pel61,plain,
    ~ $equal(f(f(f(x,y),z),w),f(x,f(y,f(z,w)))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN083+1.tptp',unknown),
    [] ).

cnf(173889608,plain,
    ~ $equal(f(f(f(x,y),z),w),f(x,f(y,f(z,w)))),
    inference(rewrite,[status(thm)],[pel61]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173819880,173889608,173819880,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(p61_1,plain,($equal(f(f(A,B),C),f(A,f(B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN083+1.tptp',unknown),[]).
% 
% cnf(173819880,plain,($equal(f(f(A,B),C),f(A,f(B,C)))),inference(rewrite,[status(thm)],[p61_1]),[]).
% 
% fof(pel61,plain,(~$equal(f(f(f(x,y),z),w),f(x,f(y,f(z,w))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN083+1.tptp',unknown),[]).
% 
% cnf(173889608,plain,(~$equal(f(f(f(x,y),z),w),f(x,f(y,f(z,w))))),inference(rewrite,[status(thm)],[pel61]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173819880,173889608,173819880,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------