TSTP Solution File: SWC036+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC036+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 16:05:26 EDT 2009
% Result : Theorem 7.4s
% Output : Refutation 7.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 162 ( 15 avg)
% Number of connectives : 193 ( 31 ~; 82 |; 80 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1,plain,
( ( sslist(u)
| $equal(w,nil) )
& ( ~ $equal(x,nil)
| $equal(w,nil) )
& ( ~ $equal(u,nil)
| $equal(w,nil) )
& ( $equal(w,u)
| $equal(w,nil) )
& ( $equal(x,v)
| $equal(w,nil) )
& ( $equal(v,nil)
| $equal(w,nil) )
& ( sslist(x)
| $equal(w,nil) )
& ( sslist(w)
| $equal(w,nil) )
& ( sslist(v)
| $equal(w,nil) )
& ( sslist(u)
| ~ $equal(u,nil) )
& ( ~ $equal(x,nil)
| ~ $equal(u,nil) )
& ( ~ $equal(u,nil)
| ~ $equal(u,nil) )
& ( $equal(w,u)
| ~ $equal(u,nil) )
& ( $equal(x,v)
| ~ $equal(u,nil) )
& ( $equal(v,nil)
| ~ $equal(u,nil) )
& ( sslist(x)
| ~ $equal(u,nil) )
& ( sslist(w)
| ~ $equal(u,nil) )
& ( sslist(v)
| ~ $equal(u,nil) )
& ( sslist(u)
| $equal(w,u) )
& ( ~ $equal(x,nil)
| $equal(w,u) )
& ( ~ $equal(u,nil)
| $equal(w,u) )
& ( $equal(w,u)
| $equal(w,u) )
& ( $equal(x,v)
| $equal(w,u) )
& ( $equal(v,nil)
| $equal(w,u) )
& ( sslist(x)
| $equal(w,u) )
& ( sslist(w)
| $equal(w,u) )
& ( sslist(v)
| $equal(w,u) )
& ( sslist(u)
| $equal(x,v) )
& ( ~ $equal(x,nil)
| $equal(x,v) )
& ( ~ $equal(u,nil)
| $equal(x,v) )
& ( $equal(w,u)
| $equal(x,v) )
& ( $equal(x,v)
| $equal(x,v) )
& ( $equal(v,nil)
| $equal(x,v) )
& ( sslist(x)
| $equal(x,v) )
& ( sslist(w)
| $equal(x,v) )
& ( sslist(v)
| $equal(x,v) )
& ( sslist(u)
| $equal(v,nil) )
& ( ~ $equal(x,nil)
| $equal(v,nil) )
& ( ~ $equal(u,nil)
| $equal(v,nil) )
& ( $equal(w,u)
| $equal(v,nil) )
& ( $equal(x,v)
| $equal(v,nil) )
& ( $equal(v,nil)
| $equal(v,nil) )
& ( sslist(x)
| $equal(v,nil) )
& ( sslist(w)
| $equal(v,nil) )
& ( sslist(v)
| $equal(v,nil) )
& ( sslist(u)
| sslist(x) )
& ( ~ $equal(x,nil)
| sslist(x) )
& ( ~ $equal(u,nil)
| sslist(x) )
& ( $equal(w,u)
| sslist(x) )
& ( $equal(x,v)
| sslist(x) )
& ( $equal(v,nil)
| sslist(x) )
& ( sslist(x)
| sslist(x) )
& ( sslist(w)
| sslist(x) )
& ( sslist(v)
| sslist(x) )
& ( sslist(u)
| sslist(w) )
& ( ~ $equal(x,nil)
| sslist(w) )
& ( ~ $equal(u,nil)
| sslist(w) )
& ( $equal(w,u)
| sslist(w) )
& ( $equal(x,v)
| sslist(w) )
& ( $equal(v,nil)
| sslist(w) )
& ( sslist(x)
| sslist(w) )
& ( sslist(w)
| sslist(w) )
& ( sslist(v)
| sslist(w) )
& ( sslist(u)
| sslist(v) )
& ( ~ $equal(x,nil)
| sslist(v) )
& ( ~ $equal(u,nil)
| sslist(v) )
& ( $equal(w,u)
| sslist(v) )
& ( $equal(x,v)
| sslist(v) )
& ( $equal(v,nil)
| sslist(v) )
& ( sslist(x)
| sslist(v) )
& ( sslist(w)
| sslist(v) )
& ( sslist(v)
| sslist(v) )
& ( sslist(u)
| sslist(u) )
& ( ~ $equal(x,nil)
| sslist(u) )
& ( ~ $equal(u,nil)
| sslist(u) )
& ( $equal(w,u)
| sslist(u) )
& ( $equal(x,v)
| sslist(u) )
& ( $equal(v,nil)
| sslist(u) )
& ( sslist(x)
| sslist(u) )
& ( sslist(w)
| sslist(u) )
& ( sslist(v)
| sslist(u) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036+1.tptp',unknown),
[] ).
cnf(162785032,plain,
$equal(x,v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(162805240,plain,
( ~ $equal(x,nil)
| $equal(w,nil) ),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(162774504,plain,
$equal(v,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(266387576,plain,
$equal(w,nil),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[162785032,162805240,162774504,theory(equality)]),
[] ).
cnf(266533472,plain,
$equal(w,v),
inference(paramodulation,[status(thm)],[266387576,162774504,theory(equality)]),
[] ).
cnf(162798832,plain,
~ $equal(u,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(262837480,plain,
~ $equal(u,v),
inference(paramodulation,[status(thm)],[162798832,162774504,theory(equality)]),
[] ).
cnf(162794824,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(262868504,plain,
~ $equal(w,v),
inference(paramodulation,[status(thm)],[262837480,162794824,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[266533472,262868504]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 7 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,(((sslist(u)|$equal(w,nil))&(~$equal(x,nil)|$equal(w,nil))&(~$equal(u,nil)|$equal(w,nil))&($equal(w,u)|$equal(w,nil))&($equal(x,v)|$equal(w,nil))&($equal(v,nil)|$equal(w,nil))&(sslist(x)|$equal(w,nil))&(sslist(w)|$equal(w,nil))&(sslist(v)|$equal(w,nil))&(sslist(u)|~$equal(u,nil))&(~$equal(x,nil)|~$equal(u,nil))&(~$equal(u,nil)|~$equal(u,nil))&($equal(w,u)|~$equal(u,nil))&($equal(x,v)|~$equal(u,nil))&($equal(v,nil)|~$equal(u,nil))&(sslist(x)|~$equal(u,nil))&(sslist(w)|~$equal(u,nil))&(sslist(v)|~$equal(u,nil))&(sslist(u)|$equal(w,u))&(~$equal(x,nil)|$equal(w,u))&(~$equal(u,nil)|$equal(w,u))&($equal(w,u)|$equal(w,u))&($equal(x,v)|$equal(w,u))&($equal(v,nil)|$equal(w,u))&(sslist(x)|$equal(w,u))&(sslist(w)|$equal(w,u))&(sslist(v)|$equal(w,u))&(sslist(u)|$equal(x,v))&(~$equal(x,nil)|$equal(x,v))&(~$equal(u,nil)|$equal(x,v))&($equal(w,u)|$equal(x,v))&($equal(x,v)|$equal(x,v))&($equal(v,nil)|$equal(x,v))&(sslist(x)|$equal(x,v))&(sslist(w)|$equal(x,v))&(sslist(v)|$equal(x,v))&(sslist(u)|$equal(v,nil))&(~$equal(x,nil)|$equal(v,nil))&(~$equal(u,nil)|$equal(v,nil))&($equal(w,u)|$equal(v,nil))&($equal(x,v)|$equal(v,nil))&($equal(v,nil)|$equal(v,nil))&(sslist(x)|$equal(v,nil))&(sslist(w)|$equal(v,nil))&(sslist(v)|$equal(v,nil))&(sslist(u)|sslist(x))&(~$equal(x,nil)|sslist(x))&(~$equal(u,nil)|sslist(x))&($equal(w,u)|sslist(x))&($equal(x,v)|sslist(x))&($equal(v,nil)|sslist(x))&(sslist(x)|sslist(x))&(sslist(w)|sslist(x))&(sslist(v)|sslist(x))&(sslist(u)|sslist(w))&(~$equal(x,nil)|sslist(w))&(~$equal(u,nil)|sslist(w))&($equal(w,u)|sslist(w))&($equal(x,v)|sslist(w))&($equal(v,nil)|sslist(w))&(sslist(x)|sslist(w))&(sslist(w)|sslist(w))&(sslist(v)|sslist(w))&(sslist(u)|sslist(v))&(~$equal(x,nil)|sslist(v))&(~$equal(u,nil)|sslist(v))&($equal(w,u)|sslist(v))&($equal(x,v)|sslist(v))&($equal(v,nil)|sslist(v))&(sslist(x)|sslist(v))&(sslist(w)|sslist(v))&(sslist(v)|sslist(v))&(sslist(u)|sslist(u))&(~$equal(x,nil)|sslist(u))&(~$equal(u,nil)|sslist(u))&($equal(w,u)|sslist(u))&($equal(x,v)|sslist(u))&($equal(v,nil)|sslist(u))&(sslist(x)|sslist(u))&(sslist(w)|sslist(u))&(sslist(v)|sslist(u)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC036+1.tptp',unknown),[]).
%
% cnf(162785032,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(162805240,plain,(~$equal(x,nil)|$equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(162774504,plain,($equal(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(266387576,plain,($equal(w,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[162785032,162805240,162774504,theory(equality)]),[]).
%
% cnf(266533472,plain,($equal(w,v)),inference(paramodulation,[status(thm)],[266387576,162774504,theory(equality)]),[]).
%
% cnf(162798832,plain,(~$equal(u,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(262837480,plain,(~$equal(u,v)),inference(paramodulation,[status(thm)],[162798832,162774504,theory(equality)]),[]).
%
% cnf(162794824,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(262868504,plain,(~$equal(w,v)),inference(paramodulation,[status(thm)],[262837480,162794824,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[266533472,262868504]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------