%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC179-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 16:11:22 EDT 2009

% Result   : Unsatisfiable 11.3s
% Output   : Refutation 11.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   5   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 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_9,plain,
    ( ssitem(sk5)
    | $equal(sk3,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(165377664,plain,
    ( ssitem(sk5)
    | $equal(sk3,nil) ),
    inference(rewrite,[status(thm)],[co1_9]),
    [] ).

fof(clause65,plain,
    ! [A] :
      ( ~ ssitem(A)
      | duplicatefreep(cons(A,nil)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(163500704,plain,
    ( ~ ssitem(A)
    | duplicatefreep(cons(A,nil)) ),
    inference(rewrite,[status(thm)],[clause65]),
    [] ).

cnf(235648816,plain,
    ( $equal(sk3,nil)
    | duplicatefreep(cons(sk5,nil)) ),
    inference(resolution,[status(thm)],[165377664,163500704]),
    [] ).

fof(co1_7,plain,
    ~ duplicatefreep(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(165355520,plain,
    ~ duplicatefreep(sk1),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

fof(co1_6,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(163011504,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_6]),
    [] ).

cnf(369703616,plain,
    ~ duplicatefreep(sk3),
    inference(paramodulation,[status(thm)],[165355520,163011504,theory(equality)]),
    [] ).

fof(co1_18,plain,
    ( $equal(cons(sk5,nil),sk3)
    | $equal(sk3,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(163010408,plain,
    ( $equal(cons(sk5,nil),sk3)
    | $equal(sk3,nil) ),
    inference(rewrite,[status(thm)],[co1_18]),
    [] ).

cnf(369730840,plain,
    $equal(sk3,nil),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[235648816,369703616,163010408,theory(equality)]),
    [] ).

fof(clause2,plain,
    duplicatefreep(nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),
    [] ).

cnf(163034056,plain,
    duplicatefreep(nil),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

cnf(369932504,plain,
    duplicatefreep(sk3),
    inference(paramodulation,[status(thm)],[369730840,163034056,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[369932504,369703616]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 10 seconds
% START OF PROOF SEQUENCE
% fof(co1_9,plain,(ssitem(sk5)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(165377664,plain,(ssitem(sk5)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
% 
% fof(clause65,plain,(~ssitem(A)|duplicatefreep(cons(A,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(163500704,plain,(~ssitem(A)|duplicatefreep(cons(A,nil))),inference(rewrite,[status(thm)],[clause65]),[]).
% 
% cnf(235648816,plain,($equal(sk3,nil)|duplicatefreep(cons(sk5,nil))),inference(resolution,[status(thm)],[165377664,163500704]),[]).
% 
% fof(co1_7,plain,(~duplicatefreep(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(165355520,plain,(~duplicatefreep(sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(163011504,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
% 
% cnf(369703616,plain,(~duplicatefreep(sk3)),inference(paramodulation,[status(thm)],[165355520,163011504,theory(equality)]),[]).
% 
% fof(co1_18,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(163010408,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_18]),[]).
% 
% cnf(369730840,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[235648816,369703616,163010408,theory(equality)]),[]).
% 
% fof(clause2,plain,(duplicatefreep(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC179-1.tptp',unknown),[]).
% 
% cnf(163034056,plain,(duplicatefreep(nil)),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% cnf(369932504,plain,(duplicatefreep(sk3)),inference(paramodulation,[status(thm)],[369730840,163034056,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[369932504,369703616]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------