TSTP Solution File: SWC209+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC209+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 16:12:15 EDT 2009
% Result : Theorem 5.2s
% Output : Refutation 5.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 200 ( 12 avg)
% Number of connectives : 244 ( 33 ~; 111 |; 100 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1,plain,
( ( sslist(u)
| $equal(x,nil) )
& ( neq(w,nil)
| $equal(x,nil) )
& ( segmentp(x,w)
| $equal(x,nil) )
& ( ~ neq(u,nil)
| $equal(x,nil) )
& ( neq(v,nil)
| $equal(x,nil) )
& ( $equal(w,u)
| $equal(x,nil) )
& ( $equal(x,v)
| $equal(x,nil) )
& ( sslist(x)
| $equal(x,nil) )
& ( sslist(w)
| $equal(x,nil) )
& ( sslist(v)
| $equal(x,nil) )
& ( sslist(u)
| $equal(w,nil) )
& ( neq(w,nil)
| $equal(w,nil) )
& ( segmentp(x,w)
| $equal(w,nil) )
& ( ~ neq(u,nil)
| $equal(w,nil) )
& ( neq(v,nil)
| $equal(w,nil) )
& ( $equal(w,u)
| $equal(w,nil) )
& ( $equal(x,v)
| $equal(w,nil) )
& ( sslist(x)
| $equal(w,nil) )
& ( sslist(w)
| $equal(w,nil) )
& ( sslist(v)
| $equal(w,nil) )
& ( sslist(u)
| ~ neq(u,nil) )
& ( neq(w,nil)
| ~ neq(u,nil) )
& ( segmentp(x,w)
| ~ neq(u,nil) )
& ( ~ neq(u,nil)
| ~ neq(u,nil) )
& ( neq(v,nil)
| ~ neq(u,nil) )
& ( $equal(w,u)
| ~ neq(u,nil) )
& ( $equal(x,v)
| ~ neq(u,nil) )
& ( sslist(x)
| ~ neq(u,nil) )
& ( sslist(w)
| ~ neq(u,nil) )
& ( sslist(v)
| ~ neq(u,nil) )
& ( sslist(u)
| neq(v,nil) )
& ( neq(w,nil)
| neq(v,nil) )
& ( segmentp(x,w)
| neq(v,nil) )
& ( ~ neq(u,nil)
| neq(v,nil) )
& ( neq(v,nil)
| neq(v,nil) )
& ( $equal(w,u)
| neq(v,nil) )
& ( $equal(x,v)
| neq(v,nil) )
& ( sslist(x)
| neq(v,nil) )
& ( sslist(w)
| neq(v,nil) )
& ( sslist(v)
| neq(v,nil) )
& ( sslist(u)
| $equal(w,u) )
& ( neq(w,nil)
| $equal(w,u) )
& ( segmentp(x,w)
| $equal(w,u) )
& ( ~ neq(u,nil)
| $equal(w,u) )
& ( neq(v,nil)
| $equal(w,u) )
& ( $equal(w,u)
| $equal(w,u) )
& ( $equal(x,v)
| $equal(w,u) )
& ( sslist(x)
| $equal(w,u) )
& ( sslist(w)
| $equal(w,u) )
& ( sslist(v)
| $equal(w,u) )
& ( sslist(u)
| $equal(x,v) )
& ( neq(w,nil)
| $equal(x,v) )
& ( segmentp(x,w)
| $equal(x,v) )
& ( ~ neq(u,nil)
| $equal(x,v) )
& ( neq(v,nil)
| $equal(x,v) )
& ( $equal(w,u)
| $equal(x,v) )
& ( $equal(x,v)
| $equal(x,v) )
& ( sslist(x)
| $equal(x,v) )
& ( sslist(w)
| $equal(x,v) )
& ( sslist(v)
| $equal(x,v) )
& ( sslist(u)
| sslist(x) )
& ( neq(w,nil)
| sslist(x) )
& ( segmentp(x,w)
| sslist(x) )
& ( ~ neq(u,nil)
| sslist(x) )
& ( neq(v,nil)
| sslist(x) )
& ( $equal(w,u)
| sslist(x) )
& ( $equal(x,v)
| sslist(x) )
& ( sslist(x)
| sslist(x) )
& ( sslist(w)
| sslist(x) )
& ( sslist(v)
| sslist(x) )
& ( sslist(u)
| sslist(w) )
& ( neq(w,nil)
| sslist(w) )
& ( segmentp(x,w)
| sslist(w) )
& ( ~ neq(u,nil)
| sslist(w) )
& ( neq(v,nil)
| sslist(w) )
& ( $equal(w,u)
| sslist(w) )
& ( $equal(x,v)
| sslist(w) )
& ( sslist(x)
| sslist(w) )
& ( sslist(w)
| sslist(w) )
& ( sslist(v)
| sslist(w) )
& ( sslist(u)
| sslist(v) )
& ( neq(w,nil)
| sslist(v) )
& ( segmentp(x,w)
| sslist(v) )
& ( ~ neq(u,nil)
| sslist(v) )
& ( neq(v,nil)
| sslist(v) )
& ( $equal(w,u)
| sslist(v) )
& ( $equal(x,v)
| sslist(v) )
& ( sslist(x)
| sslist(v) )
& ( sslist(w)
| sslist(v) )
& ( sslist(v)
| sslist(v) )
& ( sslist(u)
| sslist(u) )
& ( neq(w,nil)
| sslist(u) )
& ( segmentp(x,w)
| sslist(u) )
& ( ~ neq(u,nil)
| sslist(u) )
& ( neq(v,nil)
| sslist(u) )
& ( $equal(w,u)
| sslist(u) )
& ( $equal(x,v)
| sslist(u) )
& ( sslist(x)
| sslist(u) )
& ( sslist(w)
| sslist(u) )
& ( sslist(v)
| sslist(u) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC209+1.tptp',unknown),
[] ).
cnf(166380776,plain,
~ neq(u,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(166366336,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(294754984,plain,
~ neq(w,nil),
inference(paramodulation,[status(thm)],[166380776,166366336,theory(equality)]),
[] ).
cnf(166398648,plain,
( neq(w,nil)
| $equal(w,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(294787392,plain,
$equal(w,nil),
inference(resolution,[status(thm)],[294754984,166398648]),
[] ).
cnf(166370144,plain,
neq(v,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(294880152,plain,
neq(v,w),
inference(paramodulation,[status(thm)],[294787392,166370144,theory(equality)]),
[] ).
cnf(166355752,plain,
$equal(x,v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(296043960,plain,
neq(x,w),
inference(paramodulation,[status(thm)],[294880152,166355752,theory(equality)]),
[] ).
cnf(166412928,plain,
( neq(w,nil)
| $equal(x,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(294791656,plain,
$equal(x,nil),
inference(resolution,[status(thm)],[294754984,166412928]),
[] ).
cnf(295982904,plain,
$equal(w,x),
inference(paramodulation,[status(thm)],[294791656,294787392,theory(equality)]),
[] ).
fof(ax15,plain,
! [A,B] :
( ( ~ neq(A,B)
| ~ $equal(B,A)
| ~ sslist(B)
| ~ sslist(A) )
& ( neq(A,B)
| $equal(B,A)
| ~ sslist(B)
| ~ sslist(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC209+1.tptp',unknown),
[] ).
cnf(164156272,plain,
( ~ neq(A,B)
| ~ $equal(B,A)
| ~ sslist(B)
| ~ sslist(A) ),
inference(rewrite,[status(thm)],[ax15]),
[] ).
cnf(166347968,plain,
sslist(w),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(260232312,plain,
~ neq(w,w),
inference(resolution,[status(thm)],[164156272,166347968]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[296043960,295982904,260232312,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,(((sslist(u)|$equal(x,nil))&(neq(w,nil)|$equal(x,nil))&(segmentp(x,w)|$equal(x,nil))&(~neq(u,nil)|$equal(x,nil))&(neq(v,nil)|$equal(x,nil))&($equal(w,u)|$equal(x,nil))&($equal(x,v)|$equal(x,nil))&(sslist(x)|$equal(x,nil))&(sslist(w)|$equal(x,nil))&(sslist(v)|$equal(x,nil))&(sslist(u)|$equal(w,nil))&(neq(w,nil)|$equal(w,nil))&(segmentp(x,w)|$equal(w,nil))&(~neq(u,nil)|$equal(w,nil))&(neq(v,nil)|$equal(w,nil))&($equal(w,u)|$equal(w,nil))&($equal(x,v)|$equal(w,nil))&(sslist(x)|$equal(w,nil))&(sslist(w)|$equal(w,nil))&(sslist(v)|$equal(w,nil))&(sslist(u)|~neq(u,nil))&(neq(w,nil)|~neq(u,nil))&(segmentp(x,w)|~neq(u,nil))&(~neq(u,nil)|~neq(u,nil))&(neq(v,nil)|~neq(u,nil))&($equal(w,u)|~neq(u,nil))&($equal(x,v)|~neq(u,nil))&(sslist(x)|~neq(u,nil))&(sslist(w)|~neq(u,nil))&(sslist(v)|~neq(u,nil))&(sslist(u)|neq(v,nil))&(neq(w,nil)|neq(v,nil))&(segmentp(x,w)|neq(v,nil))&(~neq(u,nil)|neq(v,nil))&(neq(v,nil)|neq(v,nil))&($equal(w,u)|neq(v,nil))&($equal(x,v)|neq(v,nil))&(sslist(x)|neq(v,nil))&(sslist(w)|neq(v,nil))&(sslist(v)|neq(v,nil))&(sslist(u)|$equal(w,u))&(neq(w,nil)|$equal(w,u))&(segmentp(x,w)|$equal(w,u))&(~neq(u,nil)|$equal(w,u))&(neq(v,nil)|$equal(w,u))&($equal(w,u)|$equal(w,u))&($equal(x,v)|$equal(w,u))&(sslist(x)|$equal(w,u))&(sslist(w)|$equal(w,u))&(sslist(v)|$equal(w,u))&(sslist(u)|$equal(x,v))&(neq(w,nil)|$equal(x,v))&(segmentp(x,w)|$equal(x,v))&(~neq(u,nil)|$equal(x,v))&(neq(v,nil)|$equal(x,v))&($equal(w,u)|$equal(x,v))&($equal(x,v)|$equal(x,v))&(sslist(x)|$equal(x,v))&(sslist(w)|$equal(x,v))&(sslist(v)|$equal(x,v))&(sslist(u)|sslist(x))&(neq(w,nil)|sslist(x))&(segmentp(x,w)|sslist(x))&(~neq(u,nil)|sslist(x))&(neq(v,nil)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(neq(w,nil)|sslist(w))&(segmentp(x,w)|sslist(w))&(~neq(u,nil)|sslist(w))&(neq(v,nil)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(neq(w,nil)|sslist(v))&(segmentp(x,w)|sslist(v))&(~neq(u,nil)|sslist(v))&(neq(v,nil)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(neq(w,nil)|sslist(u))&(segmentp(x,w)|sslist(u))&(~neq(u,nil)|sslist(u))&(neq(v,nil)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC209+1.tptp',unknown),[]).
%
% cnf(166380776,plain,(~neq(u,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(166366336,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(294754984,plain,(~neq(w,nil)),inference(paramodulation,[status(thm)],[166380776,166366336,theory(equality)]),[]).
%
% cnf(166398648,plain,(neq(w,nil)|$equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(294787392,plain,($equal(w,nil)),inference(resolution,[status(thm)],[294754984,166398648]),[]).
%
% cnf(166370144,plain,(neq(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(294880152,plain,(neq(v,w)),inference(paramodulation,[status(thm)],[294787392,166370144,theory(equality)]),[]).
%
% cnf(166355752,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(296043960,plain,(neq(x,w)),inference(paramodulation,[status(thm)],[294880152,166355752,theory(equality)]),[]).
%
% cnf(166412928,plain,(neq(w,nil)|$equal(x,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(294791656,plain,($equal(x,nil)),inference(resolution,[status(thm)],[294754984,166412928]),[]).
%
% cnf(295982904,plain,($equal(w,x)),inference(paramodulation,[status(thm)],[294791656,294787392,theory(equality)]),[]).
%
% fof(ax15,plain,(((~neq(A,B)|~$equal(B,A)|~sslist(B)|~sslist(A))&(neq(A,B)|$equal(B,A)|~sslist(B)|~sslist(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC209+1.tptp',unknown),[]).
%
% cnf(164156272,plain,(~neq(A,B)|~$equal(B,A)|~sslist(B)|~sslist(A)),inference(rewrite,[status(thm)],[ax15]),[]).
%
% cnf(166347968,plain,(sslist(w)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(260232312,plain,(~neq(w,w)),inference(resolution,[status(thm)],[164156272,166347968]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[296043960,295982904,260232312,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------