%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC151-1 : 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 16:11:03 EDT 2009

% Result   : Unsatisfiable 1.6s
% Output   : Refutation 1.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  15 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause73,plain,
    ! [A] :
      ( ~ sslist(A)
      | $equal(app(A,nil),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(177083944,plain,
    ( ~ sslist(A)
    | $equal(app(A,nil),A) ),
    inference(rewrite,[status(thm)],[clause73]),
    [] ).

fof(co1_2,plain,
    sslist(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(178782784,plain,
    sslist(sk2),
    inference(rewrite,[status(thm)],[co1_2]),
    [] ).

cnf(241259784,plain,
    $equal(app(sk2,nil),sk2),
    inference(resolution,[status(thm)],[177083944,178782784]),
    [] ).

fof(co1_7,plain,
    totalorderp(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(178822384,plain,
    totalorderp(sk2),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(246468024,plain,
    totalorderp(app(sk2,nil)),
    inference(paramodulation,[status(thm)],[241259784,178822384,theory(equality)]),
    [] ).

fof(co1_5,plain,
    $equal(sk4,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(178807168,plain,
    $equal(sk4,sk2),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(247074624,plain,
    totalorderp(app(sk4,nil)),
    inference(paramodulation,[status(thm)],[246468024,178807168,theory(equality)]),
    [] ).

fof(co1_4,plain,
    sslist(sk4),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(178797192,plain,
    sslist(sk4),
    inference(rewrite,[status(thm)],[co1_4]),
    [] ).

cnf(241278808,plain,
    $equal(app(sk4,nil),sk4),
    inference(resolution,[status(thm)],[177083944,178797192]),
    [] ).

fof(co1_8,plain,
    ~ totalorderp(sk4),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),
    [] ).

cnf(178832456,plain,
    ~ totalorderp(sk4),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[247074624,241278808,178832456,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(177083944,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
% 
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(178782784,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
% 
% cnf(241259784,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[177083944,178782784]),[]).
% 
% fof(co1_7,plain,(totalorderp(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(178822384,plain,(totalorderp(sk2)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(246468024,plain,(totalorderp(app(sk2,nil))),inference(paramodulation,[status(thm)],[241259784,178822384,theory(equality)]),[]).
% 
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(178807168,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(247074624,plain,(totalorderp(app(sk4,nil))),inference(paramodulation,[status(thm)],[246468024,178807168,theory(equality)]),[]).
% 
% fof(co1_4,plain,(sslist(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(178797192,plain,(sslist(sk4)),inference(rewrite,[status(thm)],[co1_4]),[]).
% 
% cnf(241278808,plain,($equal(app(sk4,nil),sk4)),inference(resolution,[status(thm)],[177083944,178797192]),[]).
% 
% fof(co1_8,plain,(~totalorderp(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC151-1.tptp',unknown),[]).
% 
% cnf(178832456,plain,(~totalorderp(sk4)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[247074624,241278808,178832456,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------