%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN071+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:41:00 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   6   ~;   8   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel48,plain,
    ( ~ $equal(d,a)
    & ~ $equal(c,b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),
    [] ).

cnf(168803696,plain,
    ~ $equal(d,a),
    inference(rewrite,[status(thm)],[pel48]),
    [] ).

fof(pel48_1,plain,
    ( $equal(b,a)
    | $equal(d,c) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),
    [] ).

cnf(168762344,plain,
    ( $equal(b,a)
    | $equal(d,c) ),
    inference(rewrite,[status(thm)],[pel48_1]),
    [] ).

cnf(179194232,plain,
    ( ~ $equal(d,b)
    | $equal(d,c) ),
    inference(paramodulation,[status(thm)],[168803696,168762344,theory(equality)]),
    [] ).

fof(pel48_2,plain,
    ( $equal(c,a)
    | $equal(d,b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),
    [] ).

cnf(168768056,plain,
    ( $equal(c,a)
    | $equal(d,b) ),
    inference(rewrite,[status(thm)],[pel48_2]),
    [] ).

cnf(179213792,plain,
    ( $equal(d,c)
    | $equal(c,a) ),
    inference(resolution,[status(thm)],[179194232,168768056]),
    [] ).

cnf(179231968,plain,
    ( $equal(d,c)
    | $equal(b,c) ),
    inference(paramodulation,[status(thm)],[179213792,168762344,theory(equality)]),
    [] ).

cnf(168796432,plain,
    ~ $equal(c,b),
    inference(rewrite,[status(thm)],[pel48]),
    [] ).

cnf(179244896,plain,
    $equal(d,c),
    inference(paramodulation,[status(thm)],[179231968,168796432,theory(equality)]),
    [] ).

cnf(179204592,plain,
    ( ~ $equal(d,c)
    | $equal(d,b) ),
    inference(paramodulation,[status(thm)],[168803696,168768056,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[179244896,179204592,168796432,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel48,plain,((~$equal(d,a)&~$equal(c,b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),[]).
% 
% cnf(168803696,plain,(~$equal(d,a)),inference(rewrite,[status(thm)],[pel48]),[]).
% 
% fof(pel48_1,plain,($equal(b,a)|$equal(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),[]).
% 
% cnf(168762344,plain,($equal(b,a)|$equal(d,c)),inference(rewrite,[status(thm)],[pel48_1]),[]).
% 
% cnf(179194232,plain,(~$equal(d,b)|$equal(d,c)),inference(paramodulation,[status(thm)],[168803696,168762344,theory(equality)]),[]).
% 
% fof(pel48_2,plain,($equal(c,a)|$equal(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071+1.tptp',unknown),[]).
% 
% cnf(168768056,plain,($equal(c,a)|$equal(d,b)),inference(rewrite,[status(thm)],[pel48_2]),[]).
% 
% cnf(179213792,plain,($equal(d,c)|$equal(c,a)),inference(resolution,[status(thm)],[179194232,168768056]),[]).
% 
% cnf(179231968,plain,($equal(d,c)|$equal(b,c)),inference(paramodulation,[status(thm)],[179213792,168762344,theory(equality)]),[]).
% 
% cnf(168796432,plain,(~$equal(c,b)),inference(rewrite,[status(thm)],[pel48]),[]).
% 
% cnf(179244896,plain,($equal(d,c)),inference(paramodulation,[status(thm)],[179231968,168796432,theory(equality)]),[]).
% 
% cnf(179204592,plain,(~$equal(d,c)|$equal(d,b)),inference(paramodulation,[status(thm)],[168803696,168768056,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[179244896,179204592,168796432,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------