%------------------------------------------------------------------------------
% 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   : Unsatisfiable 3.7s
% Output   : Refutation 3.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   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    :    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(co1_2,plain,
    sslist(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),
    [] ).

cnf(161965432,plain,
    sslist(sk2),
    inference(rewrite,[status(thm)],[co1_2]),
    [] ).

fof(clause73,plain,
    ! [A] :
      ( ~ sslist(A)
      | $equal(app(A,nil),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),
    [] ).

cnf(160266600,plain,
    ( ~ sslist(A)
    | $equal(app(A,nil),A) ),
    inference(rewrite,[status(thm)],[clause73]),
    [] ).

cnf(214091952,plain,
    $equal(app(sk2,nil),sk2),
    inference(resolution,[status(thm)],[161965432,160266600]),
    [] ).

fof(co1_7,plain,
    neq(sk2,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),
    [] ).

cnf(162005816,plain,
    neq(sk2,nil),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(254250416,plain,
    neq(app(sk2,nil),nil),
    inference(paramodulation,[status(thm)],[214091952,162005816,theory(equality)]),
    [] ).

fof(co1_5,plain,
    $equal(sk4,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),
    [] ).

cnf(161989816,plain,
    $equal(sk4,sk2),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(254218512,plain,
    $equal(sk4,app(sk2,nil)),
    inference(paramodulation,[status(thm)],[214091952,161989816,theory(equality)]),
    [] ).

fof(co1_8,plain,
    ~ neq(sk4,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),
    [] ).

cnf(162016960,plain,
    ~ neq(sk4,nil),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[254250416,254218512,162016960,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),[]).
% 
% cnf(161965432,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
% 
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),[]).
% 
% cnf(160266600,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
% 
% cnf(214091952,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[161965432,160266600]),[]).
% 
% fof(co1_7,plain,(neq(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),[]).
% 
% cnf(162005816,plain,(neq(sk2,nil)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(254250416,plain,(neq(app(sk2,nil),nil)),inference(paramodulation,[status(thm)],[214091952,162005816,theory(equality)]),[]).
% 
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),[]).
% 
% cnf(161989816,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(254218512,plain,($equal(sk4,app(sk2,nil))),inference(paramodulation,[status(thm)],[214091952,161989816,theory(equality)]),[]).
% 
% fof(co1_8,plain,(~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC141-1.tptp',unknown),[]).
% 
% cnf(162016960,plain,(~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[254250416,254218512,162016960,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------