%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC035-1 : 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 16:05:20 EDT 2009
% Result : Unsatisfiable 0.9s
% Output : Refutation 0.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 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_8,plain,
$equal(sk3,sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),
[] ).
cnf(164110952,plain,
$equal(sk3,sk4),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
fof(co1_9,plain,
~ $equal(sk1,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),
[] ).
cnf(164116088,plain,
~ $equal(sk1,nil),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
fof(co1_5,plain,
$equal(sk2,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),
[] ).
cnf(164086464,plain,
$equal(sk2,nil),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(215291768,plain,
~ $equal(sk1,sk2),
inference(paramodulation,[status(thm)],[164116088,164086464,theory(equality)]),
[] ).
fof(co1_7,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),
[] ).
cnf(164101696,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(215313184,plain,
~ $equal(sk3,sk2),
inference(paramodulation,[status(thm)],[215291768,164101696,theory(equality)]),
[] ).
fof(co1_6,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),
[] ).
cnf(161788232,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[164110952,215313184,161788232,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_8,plain,($equal(sk3,sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),[]).
%
% cnf(164110952,plain,($equal(sk3,sk4)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% fof(co1_9,plain,(~$equal(sk1,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),[]).
%
% cnf(164116088,plain,(~$equal(sk1,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% fof(co1_5,plain,($equal(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),[]).
%
% cnf(164086464,plain,($equal(sk2,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(215291768,plain,(~$equal(sk1,sk2)),inference(paramodulation,[status(thm)],[164116088,164086464,theory(equality)]),[]).
%
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),[]).
%
% cnf(164101696,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(215313184,plain,(~$equal(sk3,sk2)),inference(paramodulation,[status(thm)],[215291768,164101696,theory(equality)]),[]).
%
% fof(co1_6,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035-1.tptp',unknown),[]).
%
% cnf(161788232,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[164110952,215313184,161788232,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------