TSTP Solution File: SWC385-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC385-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:18:13 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 26 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_8,plain,
segmentp(sk4,sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170929104,plain,
segmentp(sk4,sk3),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
fof(clause73,plain,
! [A] :
( ~ sslist(A)
| $equal(app(A,nil),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(169178728,plain,
( ~ sslist(A)
| $equal(app(A,nil),A) ),
inference(rewrite,[status(thm)],[clause73]),
[] ).
fof(co1_2,plain,
sslist(sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170877576,plain,
sslist(sk2),
inference(rewrite,[status(thm)],[co1_2]),
[] ).
cnf(232848168,plain,
$equal(app(sk2,nil),sk2),
inference(resolution,[status(thm)],[169178728,170877576]),
[] ).
fof(co1_7,plain,
neq(sk2,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170917960,plain,
neq(sk2,nil),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(237824648,plain,
neq(app(sk2,nil),nil),
inference(paramodulation,[status(thm)],[232848168,170917960,theory(equality)]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170901960,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(237798464,plain,
$equal(sk4,app(sk2,nil)),
inference(paramodulation,[status(thm)],[232848168,170901960,theory(equality)]),
[] ).
fof(co1_9,plain,
( singletonp(sk3)
| ~ neq(sk4,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170941792,plain,
( singletonp(sk3)
| ~ neq(sk4,nil) ),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
cnf(241864776,plain,
singletonp(sk3),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237824648,237798464,170941792,theory(equality)]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170886832,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
cnf(232861464,plain,
$equal(app(sk3,nil),sk3),
inference(resolution,[status(thm)],[169178728,170886832]),
[] ).
cnf(242064760,plain,
singletonp(app(sk3,nil)),
inference(paramodulation,[status(thm)],[241864776,232861464,theory(equality)]),
[] ).
fof(co1_1,plain,
sslist(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(170872552,plain,
sslist(sk1),
inference(rewrite,[status(thm)],[co1_1]),
[] ).
cnf(232838944,plain,
$equal(app(sk1,nil),sk1),
inference(resolution,[status(thm)],[169178728,170872552]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(168603712,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(237062704,plain,
$equal(app(sk3,nil),sk1),
inference(paramodulation,[status(thm)],[232838944,168603712,theory(equality)]),
[] ).
cnf(242119952,plain,
singletonp(sk1),
inference(paramodulation,[status(thm)],[242064760,237062704,theory(equality)]),
[] ).
fof(co1_10,plain,
( ~ singletonp(sk1)
| ~ segmentp(sk2,sk1) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),
[] ).
cnf(168603256,plain,
( ~ singletonp(sk1)
| ~ segmentp(sk2,sk1) ),
inference(rewrite,[status(thm)],[co1_10]),
[] ).
cnf(242134880,plain,
~ segmentp(sk2,sk1),
inference(resolution,[status(thm)],[242119952,168603256]),
[] ).
cnf(242247608,plain,
~ segmentp(sk4,sk1),
inference(paramodulation,[status(thm)],[242134880,170901960,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170929104,242247608,168603712,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(co1_8,plain,(segmentp(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170929104,plain,(segmentp(sk4,sk3)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(169178728,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
%
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170877576,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
%
% cnf(232848168,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[169178728,170877576]),[]).
%
% fof(co1_7,plain,(neq(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170917960,plain,(neq(sk2,nil)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(237824648,plain,(neq(app(sk2,nil),nil)),inference(paramodulation,[status(thm)],[232848168,170917960,theory(equality)]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170901960,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(237798464,plain,($equal(sk4,app(sk2,nil))),inference(paramodulation,[status(thm)],[232848168,170901960,theory(equality)]),[]).
%
% fof(co1_9,plain,(singletonp(sk3)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170941792,plain,(singletonp(sk3)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% cnf(241864776,plain,(singletonp(sk3)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237824648,237798464,170941792,theory(equality)]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170886832,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% cnf(232861464,plain,($equal(app(sk3,nil),sk3)),inference(resolution,[status(thm)],[169178728,170886832]),[]).
%
% cnf(242064760,plain,(singletonp(app(sk3,nil))),inference(paramodulation,[status(thm)],[241864776,232861464,theory(equality)]),[]).
%
% fof(co1_1,plain,(sslist(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(170872552,plain,(sslist(sk1)),inference(rewrite,[status(thm)],[co1_1]),[]).
%
% cnf(232838944,plain,($equal(app(sk1,nil),sk1)),inference(resolution,[status(thm)],[169178728,170872552]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(168603712,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(237062704,plain,($equal(app(sk3,nil),sk1)),inference(paramodulation,[status(thm)],[232838944,168603712,theory(equality)]),[]).
%
% cnf(242119952,plain,(singletonp(sk1)),inference(paramodulation,[status(thm)],[242064760,237062704,theory(equality)]),[]).
%
% fof(co1_10,plain,(~singletonp(sk1)|~segmentp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC385-1.tptp',unknown),[]).
%
% cnf(168603256,plain,(~singletonp(sk1)|~segmentp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_10]),[]).
%
% cnf(242134880,plain,(~segmentp(sk2,sk1)),inference(resolution,[status(thm)],[242119952,168603256]),[]).
%
% cnf(242247608,plain,(~segmentp(sk4,sk1)),inference(paramodulation,[status(thm)],[242134880,170901960,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170929104,242247608,168603712,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------