%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC141+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:10:22 EDT 2009
% Result : Theorem 0.8s
% Output : Refutation 0.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 2 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 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)
& sslist(v)
& sslist(w)
& sslist(x)
& $equal(x,v)
& $equal(w,u)
& neq(v,nil)
& ~ neq(x,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141+1.tptp',unknown),
[] ).
cnf(176025728,plain,
sslist(v),
inference(rewrite,[status(thm)],[co1]),
[] ).
fof(ax28,plain,
! [A] :
( ~ sslist(A)
| $equal(app(nil,A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141+1.tptp',unknown),
[] ).
cnf(174671504,plain,
( ~ sslist(A)
| $equal(app(nil,A),A) ),
inference(rewrite,[status(thm)],[ax28]),
[] ).
cnf(213019064,plain,
$equal(app(nil,v),v),
inference(resolution,[status(thm)],[176025728,174671504]),
[] ).
cnf(175968112,plain,
neq(v,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(228239688,plain,
neq(app(nil,v),nil),
inference(paramodulation,[status(thm)],[213019064,175968112,theory(equality)]),
[] ).
cnf(175994800,plain,
$equal(x,v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(228252240,plain,
$equal(x,app(nil,v)),
inference(paramodulation,[status(thm)],[213019064,175994800,theory(equality)]),
[] ).
cnf(175954320,plain,
~ neq(x,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[228239688,228252240,175954320,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,((sslist(u)&sslist(v)&sslist(w)&sslist(x)&$equal(x,v)&$equal(w,u)&neq(v,nil)&~neq(x,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141+1.tptp',unknown),[]).
%
% cnf(176025728,plain,(sslist(v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% fof(ax28,plain,(~sslist(A)|$equal(app(nil,A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141+1.tptp',unknown),[]).
%
% cnf(174671504,plain,(~sslist(A)|$equal(app(nil,A),A)),inference(rewrite,[status(thm)],[ax28]),[]).
%
% cnf(213019064,plain,($equal(app(nil,v),v)),inference(resolution,[status(thm)],[176025728,174671504]),[]).
%
% cnf(175968112,plain,(neq(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(228239688,plain,(neq(app(nil,v),nil)),inference(paramodulation,[status(thm)],[213019064,175968112,theory(equality)]),[]).
%
% cnf(175994800,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(228252240,plain,($equal(x,app(nil,v))),inference(paramodulation,[status(thm)],[213019064,175994800,theory(equality)]),[]).
%
% cnf(175954320,plain,(~neq(x,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[228239688,228252240,175954320,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------