TSTP Solution File: SWC391-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC391-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 16:18:26 EDT 2009
% Result : Unsatisfiable 4.1s
% Output : Refutation 4.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 23 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 4 !; 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/SWC391-1.tptp',unknown),
[] ).
cnf(158399552,plain,
( ~ sslist(A)
| $equal(app(A,nil),A) ),
inference(rewrite,[status(thm)],[clause73]),
[] ).
fof(co1_1,plain,
sslist(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(160096624,plain,
sslist(sk1),
inference(rewrite,[status(thm)],[co1_1]),
[] ).
cnf(212148272,plain,
$equal(app(sk1,nil),sk1),
inference(resolution,[status(thm)],[158399552,160096624]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(157819280,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(280157352,plain,
$equal(sk3,app(sk1,nil)),
inference(paramodulation,[status(thm)],[212148272,157819280,theory(equality)]),
[] ).
fof(co1_9,plain,
memberp(sk1,sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(160160672,plain,
memberp(sk1,sk5),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
fof(clause140,plain,
! [A,B,C] :
( ~ memberp(A,B)
| ~ sslist(C)
| ~ sslist(A)
| ~ ssitem(B)
| memberp(app(A,C),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(159290408,plain,
( ~ memberp(A,B)
| ~ sslist(C)
| ~ sslist(A)
| ~ ssitem(B)
| memberp(app(A,C),B) ),
inference(rewrite,[status(thm)],[clause140]),
[] ).
fof(clause8,plain,
sslist(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(157904888,plain,
sslist(nil),
inference(rewrite,[status(thm)],[clause8]),
[] ).
cnf(194166976,plain,
( ~ memberp(A,B)
| ~ sslist(A)
| ~ ssitem(B)
| memberp(app(A,nil),B) ),
inference(resolution,[status(thm)],[159290408,157904888]),
[] ).
fof(co1_8,plain,
ssitem(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(160150696,plain,
ssitem(sk5),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
cnf(220275768,plain,
( ~ memberp(A,sk5)
| ~ sslist(A)
| memberp(app(A,nil),sk5) ),
inference(resolution,[status(thm)],[194166976,160150696]),
[] ).
cnf(220944392,plain,
memberp(app(sk1,nil),sk5),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160160672,220275768,160096624]),
[] ).
cnf(288252952,plain,
memberp(sk3,sk5),
inference(paramodulation,[status(thm)],[280157352,220944392,theory(equality)]),
[] ).
fof(co1_7,plain,
$equal(sk3,sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(160145512,plain,
$equal(sk3,sk4),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(288377744,plain,
memberp(sk4,sk5),
inference(paramodulation,[status(thm)],[288252952,160145512,theory(equality)]),
[] ).
fof(co1_10,plain,
~ memberp(sk2,sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(157818680,plain,
~ memberp(sk2,sk5),
inference(rewrite,[status(thm)],[co1_10]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),
[] ).
cnf(160126160,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(256203552,plain,
~ memberp(sk4,sk5),
inference(paramodulation,[status(thm)],[157818680,160126160,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[288377744,256203552]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(158399552,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
%
% fof(co1_1,plain,(sslist(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(160096624,plain,(sslist(sk1)),inference(rewrite,[status(thm)],[co1_1]),[]).
%
% cnf(212148272,plain,($equal(app(sk1,nil),sk1)),inference(resolution,[status(thm)],[158399552,160096624]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(157819280,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(280157352,plain,($equal(sk3,app(sk1,nil))),inference(paramodulation,[status(thm)],[212148272,157819280,theory(equality)]),[]).
%
% fof(co1_9,plain,(memberp(sk1,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(160160672,plain,(memberp(sk1,sk5)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% fof(clause140,plain,(~memberp(A,B)|~sslist(C)|~sslist(A)|~ssitem(B)|memberp(app(A,C),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(159290408,plain,(~memberp(A,B)|~sslist(C)|~sslist(A)|~ssitem(B)|memberp(app(A,C),B)),inference(rewrite,[status(thm)],[clause140]),[]).
%
% fof(clause8,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(157904888,plain,(sslist(nil)),inference(rewrite,[status(thm)],[clause8]),[]).
%
% cnf(194166976,plain,(~memberp(A,B)|~sslist(A)|~ssitem(B)|memberp(app(A,nil),B)),inference(resolution,[status(thm)],[159290408,157904888]),[]).
%
% fof(co1_8,plain,(ssitem(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(160150696,plain,(ssitem(sk5)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% cnf(220275768,plain,(~memberp(A,sk5)|~sslist(A)|memberp(app(A,nil),sk5)),inference(resolution,[status(thm)],[194166976,160150696]),[]).
%
% cnf(220944392,plain,(memberp(app(sk1,nil),sk5)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160160672,220275768,160096624]),[]).
%
% cnf(288252952,plain,(memberp(sk3,sk5)),inference(paramodulation,[status(thm)],[280157352,220944392,theory(equality)]),[]).
%
% fof(co1_7,plain,($equal(sk3,sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(160145512,plain,($equal(sk3,sk4)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(288377744,plain,(memberp(sk4,sk5)),inference(paramodulation,[status(thm)],[288252952,160145512,theory(equality)]),[]).
%
% fof(co1_10,plain,(~memberp(sk2,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(157818680,plain,(~memberp(sk2,sk5)),inference(rewrite,[status(thm)],[co1_10]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC391-1.tptp',unknown),[]).
%
% cnf(160126160,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(256203552,plain,(~memberp(sk4,sk5)),inference(paramodulation,[status(thm)],[157818680,160126160,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[288377744,256203552]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------