%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC036-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:05:26 EDT 2009

% Result   : Unsatisfiable 1.8s
% Output   : Refutation 1.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (  13 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_6,plain,
    $equal(sk4,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),
    [] ).

cnf(173710224,plain,
    $equal(sk4,sk2),
    inference(rewrite,[status(thm)],[co1_6]),
    [] ).

fof(co1_9,plain,
    ( $equal(sk3,nil)
    | ~ $equal(sk4,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),
    [] ).

cnf(176039880,plain,
    ( $equal(sk3,nil)
    | ~ $equal(sk4,nil) ),
    inference(rewrite,[status(thm)],[co1_9]),
    [] ).

fof(co1_5,plain,
    $equal(sk2,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),
    [] ).

cnf(176008456,plain,
    $equal(sk2,nil),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(246186248,plain,
    $equal(sk3,nil),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173710224,176039880,176008456,theory(equality)]),
    [] ).

cnf(246505944,plain,
    $equal(sk3,sk2),
    inference(paramodulation,[status(thm)],[246186248,176008456,theory(equality)]),
    [] ).

fof(co1_8,plain,
    ~ $equal(sk1,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),
    [] ).

cnf(176032944,plain,
    ~ $equal(sk1,nil),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

cnf(238803248,plain,
    ~ $equal(sk1,sk2),
    inference(paramodulation,[status(thm)],[176032944,176008456,theory(equality)]),
    [] ).

fof(co1_7,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),
    [] ).

cnf(176023688,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(238825352,plain,
    ~ $equal(sk3,sk2),
    inference(paramodulation,[status(thm)],[238803248,176023688,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[246505944,238825352]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(co1_6,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),[]).
% 
% cnf(173710224,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_6]),[]).
% 
% fof(co1_9,plain,($equal(sk3,nil)|~$equal(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),[]).
% 
% cnf(176039880,plain,($equal(sk3,nil)|~$equal(sk4,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
% 
% fof(co1_5,plain,($equal(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),[]).
% 
% cnf(176008456,plain,($equal(sk2,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(246186248,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173710224,176039880,176008456,theory(equality)]),[]).
% 
% cnf(246505944,plain,($equal(sk3,sk2)),inference(paramodulation,[status(thm)],[246186248,176008456,theory(equality)]),[]).
% 
% fof(co1_8,plain,(~$equal(sk1,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),[]).
% 
% cnf(176032944,plain,(~$equal(sk1,nil)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% cnf(238803248,plain,(~$equal(sk1,sk2)),inference(paramodulation,[status(thm)],[176032944,176008456,theory(equality)]),[]).
% 
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036-1.tptp',unknown),[]).
% 
% cnf(176023688,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(238825352,plain,(~$equal(sk3,sk2)),inference(paramodulation,[status(thm)],[238803248,176023688,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[246505944,238825352]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------