TSTP Solution File: SWC040-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC040-1 : 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 16:05:47 EDT 2009
% Result : Unsatisfiable 30.0s
% Output : Refutation 30.0s
% 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/SWC040-1.tptp',unknown),
[] ).
cnf(150224056,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/SWC040-1.tptp',unknown),
[] ).
cnf(152575168,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/SWC040-1.tptp',unknown),
[] ).
cnf(152543488,plain,
$equal(sk2,nil),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(291553816,plain,
$equal(sk3,nil),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[150224056,152575168,152543488,theory(equality)]),
[] ).
cnf(291875368,plain,
$equal(sk3,sk2),
inference(paramodulation,[status(thm)],[291553816,152543488,theory(equality)]),
[] ).
fof(co1_8,plain,
~ $equal(sk1,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),
[] ).
cnf(152568168,plain,
~ $equal(sk1,nil),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
cnf(208629464,plain,
~ $equal(sk1,sk2),
inference(paramodulation,[status(thm)],[152568168,152543488,theory(equality)]),
[] ).
fof(co1_7,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),
[] ).
cnf(152558848,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(208650144,plain,
~ $equal(sk3,sk2),
inference(paramodulation,[status(thm)],[208629464,152558848,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[291875368,208650144]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 30 seconds
% START OF PROOF SEQUENCE
% fof(co1_6,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),[]).
%
% cnf(150224056,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% fof(co1_9,plain,($equal(sk3,nil)|~$equal(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),[]).
%
% cnf(152575168,plain,($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/SWC040-1.tptp',unknown),[]).
%
% cnf(152543488,plain,($equal(sk2,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(291553816,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[150224056,152575168,152543488,theory(equality)]),[]).
%
% cnf(291875368,plain,($equal(sk3,sk2)),inference(paramodulation,[status(thm)],[291553816,152543488,theory(equality)]),[]).
%
% fof(co1_8,plain,(~$equal(sk1,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),[]).
%
% cnf(152568168,plain,(~$equal(sk1,nil)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% cnf(208629464,plain,(~$equal(sk1,sk2)),inference(paramodulation,[status(thm)],[152568168,152543488,theory(equality)]),[]).
%
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC040-1.tptp',unknown),[]).
%
% cnf(152558848,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(208650144,plain,(~$equal(sk3,sk2)),inference(paramodulation,[status(thm)],[208629464,152558848,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[291875368,208650144]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------