TSTP Solution File: SWC208+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC208+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 16:12:09 EDT 2009
% Result : Theorem 1.6s
% Output : Refutation 1.6s
% 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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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) )
& ( frontsegp(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/SWC208+1.tptp',unknown),
[] ).
cnf(153592984,plain,
~ neq(u,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(153578544,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(243422376,plain,
~ neq(w,nil),
inference(paramodulation,[status(thm)],[153592984,153578544,theory(equality)]),
[] ).
cnf(153610856,plain,
( neq(w,nil)
| $equal(w,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(243454832,plain,
$equal(w,nil),
inference(resolution,[status(thm)],[243422376,153610856]),
[] ).
cnf(153582352,plain,
neq(v,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(243572328,plain,
neq(v,w),
inference(paramodulation,[status(thm)],[243454832,153582352,theory(equality)]),
[] ).
cnf(153567960,plain,
$equal(x,v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(243782336,plain,
neq(x,w),
inference(paramodulation,[status(thm)],[243572328,153567960,theory(equality)]),
[] ).
cnf(153625136,plain,
( neq(w,nil)
| $equal(x,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(243464696,plain,
$equal(x,nil),
inference(resolution,[status(thm)],[243422376,153625136]),
[] ).
cnf(243719600,plain,
$equal(w,x),
inference(paramodulation,[status(thm)],[243464696,243454832,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/SWC208+1.tptp',unknown),
[] ).
cnf(151368560,plain,
( ~ neq(A,B)
| ~ $equal(B,A)
| ~ sslist(B)
| ~ sslist(A) ),
inference(rewrite,[status(thm)],[ax15]),
[] ).
cnf(153560160,plain,
sslist(w),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(238154200,plain,
~ neq(w,w),
inference(resolution,[status(thm)],[151368560,153560160]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[243782336,243719600,238154200,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,(((sslist(u)|$equal(x,nil))&(neq(w,nil)|$equal(x,nil))&(frontsegp(x,w)|$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)|$equal(w,nil))&(frontsegp(x,w)|$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)|$equal(w,nil))&(sslist(u)|~neq(u,nil))&(neq(w,nil)|~neq(u,nil))&(frontsegp(x,w)|~neq(u,nil))&(~neq(u,nil)|~neq(u,nil))&(neq(v,nil)|~neq(u,nil))&($equal(w,u)|~neq(u,nil))&($equal(x,v)|~neq(u,nil))&(sslist(x)|~neq(u,nil))&(sslist(w)|~neq(u,nil))&(sslist(v)|~neq(u,nil))&(sslist(u)|neq(v,nil))&(neq(w,nil)|neq(v,nil))&(frontsegp(x,w)|neq(v,nil))&(~neq(u,nil)|neq(v,nil))&(neq(v,nil)|neq(v,nil))&($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)|$equal(w,u))&(frontsegp(x,w)|$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)|$equal(x,v))&(frontsegp(x,w)|$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)|$equal(x,v))&(sslist(u)|sslist(x))&(neq(w,nil)|sslist(x))&(frontsegp(x,w)|sslist(x))&(~neq(u,nil)|sslist(x))&(neq(v,nil)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(neq(w,nil)|sslist(w))&(frontsegp(x,w)|sslist(w))&(~neq(u,nil)|sslist(w))&(neq(v,nil)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(neq(w,nil)|sslist(v))&(frontsegp(x,w)|sslist(v))&(~neq(u,nil)|sslist(v))&(neq(v,nil)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(neq(w,nil)|sslist(u))&(frontsegp(x,w)|sslist(u))&(~neq(u,nil)|sslist(u))&(neq(v,nil)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC208+1.tptp',unknown),[]).
%
% cnf(153592984,plain,(~neq(u,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(153578544,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(243422376,plain,(~neq(w,nil)),inference(paramodulation,[status(thm)],[153592984,153578544,theory(equality)]),[]).
%
% cnf(153610856,plain,(neq(w,nil)|$equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(243454832,plain,($equal(w,nil)),inference(resolution,[status(thm)],[243422376,153610856]),[]).
%
% cnf(153582352,plain,(neq(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(243572328,plain,(neq(v,w)),inference(paramodulation,[status(thm)],[243454832,153582352,theory(equality)]),[]).
%
% cnf(153567960,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(243782336,plain,(neq(x,w)),inference(paramodulation,[status(thm)],[243572328,153567960,theory(equality)]),[]).
%
% cnf(153625136,plain,(neq(w,nil)|$equal(x,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(243464696,plain,($equal(x,nil)),inference(resolution,[status(thm)],[243422376,153625136]),[]).
%
% cnf(243719600,plain,($equal(w,x)),inference(paramodulation,[status(thm)],[243464696,243454832,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/SWC208+1.tptp',unknown),[]).
%
% cnf(151368560,plain,(~neq(A,B)|~$equal(B,A)|~sslist(B)|~sslist(A)),inference(rewrite,[status(thm)],[ax15]),[]).
%
% cnf(153560160,plain,(sslist(w)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(238154200,plain,(~neq(w,w)),inference(resolution,[status(thm)],[151368560,153560160]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[243782336,243719600,238154200,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------