TSTP Solution File: SWC328+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC328+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 16:15:36 EDT 2009
% Result : Theorem 3.6s
% Output : Refutation 3.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 17 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 128 ( 6 avg)
% Number of connectives : 156 ( 24 ~; 69 |; 63 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 4 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 : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax28,plain,
! [A] :
( ~ sslist(A)
| $equal(app(nil,A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),
[] ).
cnf(177357072,plain,
( ~ sslist(A)
| $equal(app(nil,A),A) ),
inference(rewrite,[status(thm)],[ax28]),
[] ).
fof(ax17,plain,
sslist(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),
[] ).
cnf(177138880,plain,
sslist(nil),
inference(rewrite,[status(thm)],[ax17]),
[] ).
cnf(229329896,plain,
$equal(app(nil,nil),nil),
inference(resolution,[status(thm)],[177357072,177138880]),
[] ).
fof(ax74,plain,
equalelemsp(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),
[] ).
cnf(178232352,plain,
equalelemsp(nil),
inference(rewrite,[status(thm)],[ax74]),
[] ).
cnf(238951440,plain,
equalelemsp(app(nil,nil)),
inference(paramodulation,[status(thm)],[229329896,178232352,theory(equality)]),
[] ).
fof(co1,plain,
( ( sslist(u)
| ~ equalelemsp(u) )
& ( ~ segmentp(v,u)
| ~ equalelemsp(u) )
& ( $equal(w,u)
| ~ equalelemsp(u) )
& ( $equal(x,v)
| ~ equalelemsp(u) )
& ( $equal(w,nil)
| ~ equalelemsp(u) )
& ( sslist(x)
| ~ equalelemsp(u) )
& ( sslist(w)
| ~ equalelemsp(u) )
& ( sslist(v)
| ~ equalelemsp(u) )
& ( sslist(u)
| $equal(w,u) )
& ( ~ segmentp(v,u)
| $equal(w,u) )
& ( $equal(w,u)
| $equal(w,u) )
& ( $equal(x,v)
| $equal(w,u) )
& ( $equal(w,nil)
| $equal(w,u) )
& ( sslist(x)
| $equal(w,u) )
& ( sslist(w)
| $equal(w,u) )
& ( sslist(v)
| $equal(w,u) )
& ( sslist(u)
| $equal(x,v) )
& ( ~ segmentp(v,u)
| $equal(x,v) )
& ( $equal(w,u)
| $equal(x,v) )
& ( $equal(x,v)
| $equal(x,v) )
& ( $equal(w,nil)
| $equal(x,v) )
& ( sslist(x)
| $equal(x,v) )
& ( sslist(w)
| $equal(x,v) )
& ( sslist(v)
| $equal(x,v) )
& ( sslist(u)
| $equal(w,nil) )
& ( ~ segmentp(v,u)
| $equal(w,nil) )
& ( $equal(w,u)
| $equal(w,nil) )
& ( $equal(x,v)
| $equal(w,nil) )
& ( $equal(w,nil)
| $equal(w,nil) )
& ( sslist(x)
| $equal(w,nil) )
& ( sslist(w)
| $equal(w,nil) )
& ( sslist(v)
| $equal(w,nil) )
& ( sslist(u)
| sslist(x) )
& ( ~ segmentp(v,u)
| sslist(x) )
& ( $equal(w,u)
| sslist(x) )
& ( $equal(x,v)
| sslist(x) )
& ( $equal(w,nil)
| sslist(x) )
& ( sslist(x)
| sslist(x) )
& ( sslist(w)
| sslist(x) )
& ( sslist(v)
| sslist(x) )
& ( sslist(u)
| sslist(w) )
& ( ~ segmentp(v,u)
| sslist(w) )
& ( $equal(w,u)
| sslist(w) )
& ( $equal(x,v)
| sslist(w) )
& ( $equal(w,nil)
| sslist(w) )
& ( sslist(x)
| sslist(w) )
& ( sslist(w)
| sslist(w) )
& ( sslist(v)
| sslist(w) )
& ( sslist(u)
| sslist(v) )
& ( ~ segmentp(v,u)
| sslist(v) )
& ( $equal(w,u)
| sslist(v) )
& ( $equal(x,v)
| sslist(v) )
& ( $equal(w,nil)
| sslist(v) )
& ( sslist(x)
| sslist(v) )
& ( sslist(w)
| sslist(v) )
& ( sslist(v)
| sslist(v) )
& ( sslist(u)
| sslist(u) )
& ( ~ segmentp(v,u)
| sslist(u) )
& ( $equal(w,u)
| sslist(u) )
& ( $equal(x,v)
| sslist(u) )
& ( $equal(w,nil)
| sslist(u) )
& ( sslist(x)
| sslist(u) )
& ( sslist(w)
| sslist(u) )
& ( sslist(v)
| sslist(u) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),
[] ).
cnf(179075776,plain,
$equal(w,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(239870320,plain,
equalelemsp(app(nil,w)),
inference(paramodulation,[status(thm)],[238951440,179075776,theory(equality)]),
[] ).
cnf(179068272,plain,
sslist(w),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(238779544,plain,
$equal(app(nil,w),w),
inference(resolution,[status(thm)],[177357072,179068272]),
[] ).
fof(ax57,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),
[] ).
cnf(177929512,plain,
( ~ sslist(A)
| segmentp(A,nil) ),
inference(rewrite,[status(thm)],[ax57]),
[] ).
cnf(179064208,plain,
sslist(v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(237997136,plain,
segmentp(v,nil),
inference(resolution,[status(thm)],[177929512,179064208]),
[] ).
cnf(238028864,plain,
segmentp(v,w),
inference(paramodulation,[status(thm)],[237997136,179075776,theory(equality)]),
[] ).
cnf(179096440,plain,
( ~ segmentp(v,u)
| ~ equalelemsp(u) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(179091928,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(238696160,plain,
~ equalelemsp(u),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[238028864,179096440,179091928,theory(equality)]),
[] ).
cnf(238719888,plain,
~ equalelemsp(w),
inference(paramodulation,[status(thm)],[238696160,179091928,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[239870320,238779544,238719888,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(ax28,plain,(~sslist(A)|$equal(app(nil,A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),[]).
%
% cnf(177357072,plain,(~sslist(A)|$equal(app(nil,A),A)),inference(rewrite,[status(thm)],[ax28]),[]).
%
% fof(ax17,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),[]).
%
% cnf(177138880,plain,(sslist(nil)),inference(rewrite,[status(thm)],[ax17]),[]).
%
% cnf(229329896,plain,($equal(app(nil,nil),nil)),inference(resolution,[status(thm)],[177357072,177138880]),[]).
%
% fof(ax74,plain,(equalelemsp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),[]).
%
% cnf(178232352,plain,(equalelemsp(nil)),inference(rewrite,[status(thm)],[ax74]),[]).
%
% cnf(238951440,plain,(equalelemsp(app(nil,nil))),inference(paramodulation,[status(thm)],[229329896,178232352,theory(equality)]),[]).
%
% fof(co1,plain,(((sslist(u)|~equalelemsp(u))&(~segmentp(v,u)|~equalelemsp(u))&($equal(w,u)|~equalelemsp(u))&($equal(x,v)|~equalelemsp(u))&($equal(w,nil)|~equalelemsp(u))&(sslist(x)|~equalelemsp(u))&(sslist(w)|~equalelemsp(u))&(sslist(v)|~equalelemsp(u))&(sslist(u)|$equal(w,u))&(~segmentp(v,u)|$equal(w,u))&($equal(w,u)|$equal(w,u))&($equal(x,v)|$equal(w,u))&($equal(w,nil)|$equal(w,u))&(sslist(x)|$equal(w,u))&(sslist(w)|$equal(w,u))&(sslist(v)|$equal(w,u))&(sslist(u)|$equal(x,v))&(~segmentp(v,u)|$equal(x,v))&($equal(w,u)|$equal(x,v))&($equal(x,v)|$equal(x,v))&($equal(w,nil)|$equal(x,v))&(sslist(x)|$equal(x,v))&(sslist(w)|$equal(x,v))&(sslist(v)|$equal(x,v))&(sslist(u)|$equal(w,nil))&(~segmentp(v,u)|$equal(w,nil))&($equal(w,u)|$equal(w,nil))&($equal(x,v)|$equal(w,nil))&($equal(w,nil)|$equal(w,nil))&(sslist(x)|$equal(w,nil))&(sslist(w)|$equal(w,nil))&(sslist(v)|$equal(w,nil))&(sslist(u)|sslist(x))&(~segmentp(v,u)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&($equal(w,nil)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(~segmentp(v,u)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&($equal(w,nil)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(~segmentp(v,u)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&($equal(w,nil)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(~segmentp(v,u)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&($equal(w,nil)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),[]).
%
% cnf(179075776,plain,($equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(239870320,plain,(equalelemsp(app(nil,w))),inference(paramodulation,[status(thm)],[238951440,179075776,theory(equality)]),[]).
%
% cnf(179068272,plain,(sslist(w)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(238779544,plain,($equal(app(nil,w),w)),inference(resolution,[status(thm)],[177357072,179068272]),[]).
%
% fof(ax57,plain,(~sslist(A)|segmentp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328+1.tptp',unknown),[]).
%
% cnf(177929512,plain,(~sslist(A)|segmentp(A,nil)),inference(rewrite,[status(thm)],[ax57]),[]).
%
% cnf(179064208,plain,(sslist(v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(237997136,plain,(segmentp(v,nil)),inference(resolution,[status(thm)],[177929512,179064208]),[]).
%
% cnf(238028864,plain,(segmentp(v,w)),inference(paramodulation,[status(thm)],[237997136,179075776,theory(equality)]),[]).
%
% cnf(179096440,plain,(~segmentp(v,u)|~equalelemsp(u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(179091928,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(238696160,plain,(~equalelemsp(u)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[238028864,179096440,179091928,theory(equality)]),[]).
%
% cnf(238719888,plain,(~equalelemsp(w)),inference(paramodulation,[status(thm)],[238696160,179091928,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[239870320,238779544,238719888,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------