TSTP Solution File: SWC362-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC362-1 : TPTP v3.4.2. Released v2.4.0.
% 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 16:17:07 EDT 2009
% Result : Unsatisfiable 2.3s
% Output : Refutation 2.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 29 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 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(clause73,plain,
! [A] :
( ~ sslist(A)
| $equal(app(A,nil),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(177563720,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/SWC362-1.tptp',unknown),
[] ).
cnf(179262560,plain,
sslist(sk2),
inference(rewrite,[status(thm)],[co1_2]),
[] ).
cnf(225371896,plain,
$equal(app(sk2,nil),sk2),
inference(resolution,[status(thm)],[177563720,179262560]),
[] ).
fof(co1_7,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179302976,plain,
neq(sk2,nil),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(256825328,plain,
neq(app(sk2,nil),nil),
inference(paramodulation,[status(thm)],[225371896,179302976,theory(equality)]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179286944,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(256802408,plain,
$equal(sk4,app(sk2,nil)),
inference(paramodulation,[status(thm)],[225371896,179286944,theory(equality)]),
[] ).
fof(co1_11,plain,
( segmentp(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179315984,plain,
( segmentp(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(rewrite,[status(thm)],[co1_11]),
[] ).
cnf(260051112,plain,
segmentp(sk4,sk3),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[256825328,256802408,179315984,theory(equality)]),
[] ).
fof(co1_4,plain,
sslist(sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179276968,plain,
sslist(sk4),
inference(rewrite,[status(thm)],[co1_4]),
[] ).
cnf(241894464,plain,
$equal(app(sk4,nil),sk4),
inference(resolution,[status(thm)],[177563720,179276968]),
[] ).
cnf(260091928,plain,
segmentp(app(sk4,nil),sk3),
inference(paramodulation,[status(thm)],[260051112,241894464,theory(equality)]),
[] ).
cnf(256810824,plain,
$equal(app(sk4,nil),sk2),
inference(paramodulation,[status(thm)],[225371896,179286944,theory(equality)]),
[] ).
cnf(264193904,plain,
segmentp(sk2,sk3),
inference(paramodulation,[status(thm)],[260091928,256810824,theory(equality)]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179271816,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
cnf(252668952,plain,
$equal(app(sk3,nil),sk3),
inference(resolution,[status(thm)],[177563720,179271816]),
[] ).
cnf(264226056,plain,
segmentp(sk2,app(sk3,nil)),
inference(paramodulation,[status(thm)],[264193904,252668952,theory(equality)]),
[] ).
fof(co1_1,plain,
sslist(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179257536,plain,
sslist(sk1),
inference(rewrite,[status(thm)],[co1_1]),
[] ).
cnf(237773624,plain,
$equal(app(sk1,nil),sk1),
inference(resolution,[status(thm)],[177563720,179257536]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(176988912,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(257567104,plain,
$equal(app(sk3,nil),sk1),
inference(paramodulation,[status(thm)],[237773624,176988912,theory(equality)]),
[] ).
cnf(260750968,plain,
segmentp(sk2,sk1),
inference(paramodulation,[status(thm)],[264226056,257567104,theory(equality)]),
[] ).
fof(co1_12,plain,
( ~ segmentp(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),
[] ).
cnf(179328032,plain,
( ~ segmentp(sk2,sk1)
| ~ neq(sk4,nil) ),
inference(rewrite,[status(thm)],[co1_12]),
[] ).
cnf(260378160,plain,
$equal(sk2,sk4),
inference(paramodulation,[status(thm)],[256810824,241894464,theory(equality)]),
[] ).
cnf(260470984,plain,
neq(sk4,nil),
inference(paramodulation,[status(thm)],[260378160,179302976,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[260750968,179328032,260470984]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(177563720,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
%
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179262560,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
%
% cnf(225371896,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[177563720,179262560]),[]).
%
% fof(co1_7,plain,(neq(sk2,nil)|neq(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179302976,plain,(neq(sk2,nil)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(256825328,plain,(neq(app(sk2,nil),nil)),inference(paramodulation,[status(thm)],[225371896,179302976,theory(equality)]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179286944,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(256802408,plain,($equal(sk4,app(sk2,nil))),inference(paramodulation,[status(thm)],[225371896,179286944,theory(equality)]),[]).
%
% fof(co1_11,plain,(segmentp(sk4,sk3)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179315984,plain,(segmentp(sk4,sk3)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_11]),[]).
%
% cnf(260051112,plain,(segmentp(sk4,sk3)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[256825328,256802408,179315984,theory(equality)]),[]).
%
% fof(co1_4,plain,(sslist(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179276968,plain,(sslist(sk4)),inference(rewrite,[status(thm)],[co1_4]),[]).
%
% cnf(241894464,plain,($equal(app(sk4,nil),sk4)),inference(resolution,[status(thm)],[177563720,179276968]),[]).
%
% cnf(260091928,plain,(segmentp(app(sk4,nil),sk3)),inference(paramodulation,[status(thm)],[260051112,241894464,theory(equality)]),[]).
%
% cnf(256810824,plain,($equal(app(sk4,nil),sk2)),inference(paramodulation,[status(thm)],[225371896,179286944,theory(equality)]),[]).
%
% cnf(264193904,plain,(segmentp(sk2,sk3)),inference(paramodulation,[status(thm)],[260091928,256810824,theory(equality)]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179271816,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% cnf(252668952,plain,($equal(app(sk3,nil),sk3)),inference(resolution,[status(thm)],[177563720,179271816]),[]).
%
% cnf(264226056,plain,(segmentp(sk2,app(sk3,nil))),inference(paramodulation,[status(thm)],[264193904,252668952,theory(equality)]),[]).
%
% fof(co1_1,plain,(sslist(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179257536,plain,(sslist(sk1)),inference(rewrite,[status(thm)],[co1_1]),[]).
%
% cnf(237773624,plain,($equal(app(sk1,nil),sk1)),inference(resolution,[status(thm)],[177563720,179257536]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(176988912,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(257567104,plain,($equal(app(sk3,nil),sk1)),inference(paramodulation,[status(thm)],[237773624,176988912,theory(equality)]),[]).
%
% cnf(260750968,plain,(segmentp(sk2,sk1)),inference(paramodulation,[status(thm)],[264226056,257567104,theory(equality)]),[]).
%
% fof(co1_12,plain,(~segmentp(sk2,sk1)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC362-1.tptp',unknown),[]).
%
% cnf(179328032,plain,(~segmentp(sk2,sk1)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_12]),[]).
%
% cnf(260378160,plain,($equal(sk2,sk4)),inference(paramodulation,[status(thm)],[256810824,241894464,theory(equality)]),[]).
%
% cnf(260470984,plain,(neq(sk4,nil)),inference(paramodulation,[status(thm)],[260378160,179302976,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[260750968,179328032,260470984]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------