%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC358+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 16:16:45 EDT 2009
% Result : Theorem 6.0s
% Output : Refutation 6.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 200 ( 13 avg)
% Number of connectives : 228 ( 25 ~; 104 |; 99 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 8 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 : 2 ( 0 sgn 1 !; 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) )
& ( ~ segmentp(v,u)
| $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) )
& ( ~ segmentp(v,u)
| $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)
| ~ segmentp(v,u) )
& ( neq(w,nil)
| ~ segmentp(v,u) )
& ( segmentp(x,w)
| ~ segmentp(v,u) )
& ( ~ segmentp(v,u)
| ~ segmentp(v,u) )
& ( neq(v,nil)
| ~ segmentp(v,u) )
& ( $equal(w,u)
| ~ segmentp(v,u) )
& ( $equal(x,v)
| ~ segmentp(v,u) )
& ( sslist(x)
| ~ segmentp(v,u) )
& ( sslist(w)
| ~ segmentp(v,u) )
& ( sslist(v)
| ~ segmentp(v,u) )
& ( sslist(u)
| neq(v,nil) )
& ( neq(w,nil)
| neq(v,nil) )
& ( segmentp(x,w)
| neq(v,nil) )
& ( ~ segmentp(v,u)
| 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) )
& ( ~ segmentp(v,u)
| $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) )
& ( ~ segmentp(v,u)
| $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) )
& ( ~ segmentp(v,u)
| 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) )
& ( ~ segmentp(v,u)
| 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) )
& ( ~ segmentp(v,u)
| 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) )
& ( ~ segmentp(v,u)
| 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/SWC358+1.tptp',unknown),
[] ).
cnf(158184480,plain,
sslist(x),
inference(rewrite,[status(thm)],[co1]),
[] ).
fof(ax55,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358+1.tptp',unknown),
[] ).
cnf(156775952,plain,
( ~ sslist(A)
| segmentp(A,A) ),
inference(rewrite,[status(thm)],[ax55]),
[] ).
cnf(230474488,plain,
segmentp(x,x),
inference(resolution,[status(thm)],[158184480,156775952]),
[] ).
cnf(158213384,plain,
~ segmentp(v,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(158188320,plain,
$equal(x,v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(276863560,plain,
~ segmentp(x,u),
inference(paramodulation,[status(thm)],[158213384,158188320,theory(equality)]),
[] ).
cnf(158198904,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(276881880,plain,
~ segmentp(x,w),
inference(paramodulation,[status(thm)],[276863560,158198904,theory(equality)]),
[] ).
cnf(158242512,plain,
( segmentp(x,w)
| $equal(x,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(276905000,plain,
$equal(x,nil),
inference(resolution,[status(thm)],[276881880,158242512]),
[] ).
cnf(158224920,plain,
( segmentp(x,w)
| $equal(w,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(276899224,plain,
$equal(w,nil),
inference(resolution,[status(thm)],[276881880,158224920]),
[] ).
cnf(277136240,plain,
$equal(w,x),
inference(paramodulation,[status(thm)],[276905000,276899224,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[230474488,277136240,276881880,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 6 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,(((sslist(u)|$equal(x,nil))&(neq(w,nil)|$equal(x,nil))&(segmentp(x,w)|$equal(x,nil))&(~segmentp(v,u)|$equal(x,nil))&(neq(v,nil)|$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))&(~segmentp(v,u)|$equal(w,nil))&(neq(v,nil)|$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)|$equal(w,nil))&(sslist(u)|~segmentp(v,u))&(neq(w,nil)|~segmentp(v,u))&(segmentp(x,w)|~segmentp(v,u))&(~segmentp(v,u)|~segmentp(v,u))&(neq(v,nil)|~segmentp(v,u))&($equal(w,u)|~segmentp(v,u))&($equal(x,v)|~segmentp(v,u))&(sslist(x)|~segmentp(v,u))&(sslist(w)|~segmentp(v,u))&(sslist(v)|~segmentp(v,u))&(sslist(u)|neq(v,nil))&(neq(w,nil)|neq(v,nil))&(segmentp(x,w)|neq(v,nil))&(~segmentp(v,u)|neq(v,nil))&(neq(v,nil)|neq(v,nil))&($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))&(~segmentp(v,u)|$equal(w,u))&(neq(v,nil)|$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))&(~segmentp(v,u)|$equal(x,v))&(neq(v,nil)|$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)|$equal(x,v))&(sslist(u)|sslist(x))&(neq(w,nil)|sslist(x))&(segmentp(x,w)|sslist(x))&(~segmentp(v,u)|sslist(x))&(neq(v,nil)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(neq(w,nil)|sslist(w))&(segmentp(x,w)|sslist(w))&(~segmentp(v,u)|sslist(w))&(neq(v,nil)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(neq(w,nil)|sslist(v))&(segmentp(x,w)|sslist(v))&(~segmentp(v,u)|sslist(v))&(neq(v,nil)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(neq(w,nil)|sslist(u))&(segmentp(x,w)|sslist(u))&(~segmentp(v,u)|sslist(u))&(neq(v,nil)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358+1.tptp',unknown),[]).
%
% cnf(158184480,plain,(sslist(x)),inference(rewrite,[status(thm)],[co1]),[]).
%
% fof(ax55,plain,(~sslist(A)|segmentp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358+1.tptp',unknown),[]).
%
% cnf(156775952,plain,(~sslist(A)|segmentp(A,A)),inference(rewrite,[status(thm)],[ax55]),[]).
%
% cnf(230474488,plain,(segmentp(x,x)),inference(resolution,[status(thm)],[158184480,156775952]),[]).
%
% cnf(158213384,plain,(~segmentp(v,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(158188320,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(276863560,plain,(~segmentp(x,u)),inference(paramodulation,[status(thm)],[158213384,158188320,theory(equality)]),[]).
%
% cnf(158198904,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(276881880,plain,(~segmentp(x,w)),inference(paramodulation,[status(thm)],[276863560,158198904,theory(equality)]),[]).
%
% cnf(158242512,plain,(segmentp(x,w)|$equal(x,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(276905000,plain,($equal(x,nil)),inference(resolution,[status(thm)],[276881880,158242512]),[]).
%
% cnf(158224920,plain,(segmentp(x,w)|$equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(276899224,plain,($equal(w,nil)),inference(resolution,[status(thm)],[276881880,158224920]),[]).
%
% cnf(277136240,plain,($equal(w,x)),inference(paramodulation,[status(thm)],[276905000,276899224,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[230474488,277136240,276881880,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------