%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC035+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 16:05:20 EDT 2009

% Result   : Theorem 3.0s
% Output   : Refutation 3.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   8 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :   12 (   4   ~;   0   |;   8   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 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)
    & sslist(v)
    & sslist(w)
    & sslist(x)
    & $equal(v,nil)
    & $equal(x,v)
    & $equal(w,u)
    & $equal(w,x)
    & ~ $equal(u,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035+1.tptp',unknown),
    [] ).

cnf(180337848,plain,
    $equal(w,x),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(180325200,plain,
    ~ $equal(u,nil),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(180369368,plain,
    $equal(v,nil),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(246047552,plain,
    ~ $equal(u,v),
    inference(paramodulation,[status(thm)],[180325200,180369368,theory(equality)]),
    [] ).

cnf(180355456,plain,
    $equal(w,u),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(246086408,plain,
    ~ $equal(w,v),
    inference(paramodulation,[status(thm)],[246047552,180355456,theory(equality)]),
    [] ).

cnf(180362592,plain,
    $equal(x,v),
    inference(rewrite,[status(thm)],[co1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[180337848,246086408,180362592,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(co1,plain,((sslist(u)&sslist(v)&sslist(w)&sslist(x)&$equal(v,nil)&$equal(x,v)&$equal(w,u)&$equal(w,x)&~$equal(u,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC035+1.tptp',unknown),[]).
% 
% cnf(180337848,plain,($equal(w,x)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(180325200,plain,(~$equal(u,nil)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(180369368,plain,($equal(v,nil)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(246047552,plain,(~$equal(u,v)),inference(paramodulation,[status(thm)],[180325200,180369368,theory(equality)]),[]).
% 
% cnf(180355456,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(246086408,plain,(~$equal(w,v)),inference(paramodulation,[status(thm)],[246047552,180355456,theory(equality)]),[]).
% 
% cnf(180362592,plain,($equal(x,v)),inference(rewrite,[status(thm)],[co1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[180337848,246086408,180362592,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------