%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN729-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 18:20:41 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm72_5,plain,
    p(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143423792,plain,
    p(sk2),
    inference(rewrite,[status(thm)],[thm72_5]),
    [] ).

fof(thm72_4,plain,
    ! [A] :
      ( p(h(A))
      | ~ p(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143420048,plain,
    ( p(h(A))
    | ~ p(A) ),
    inference(rewrite,[status(thm)],[thm72_4]),
    [] ).

fof(thm72_2,plain,
    ! [A] :
      ( p(sk1(A))
      | ~ p(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143409008,plain,
    ( p(sk1(A))
    | ~ p(A) ),
    inference(rewrite,[status(thm)],[thm72_2]),
    [] ).

cnf(164313128,plain,
    p(sk1(sk2)),
    inference(resolution,[status(thm)],[143409008,143423792]),
    [] ).

cnf(164405368,plain,
    p(h(sk1(sk2))),
    inference(resolution,[status(thm)],[143420048,164313128]),
    [] ).

fof(thm72_3,plain,
    ! [A] :
      ( p(g(A))
      | ~ p(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143414600,plain,
    ( p(g(A))
    | ~ p(A) ),
    inference(rewrite,[status(thm)],[thm72_3]),
    [] ).

cnf(164966368,plain,
    p(g(h(sk1(sk2)))),
    inference(resolution,[status(thm)],[164405368,143414600]),
    [] ).

fof(thm72_1,plain,
    ! [A] :
      ( l(A,g(h(sk1(A))))
      | ~ p(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143402472,plain,
    ( l(A,g(h(sk1(A))))
    | ~ p(A) ),
    inference(rewrite,[status(thm)],[thm72_1]),
    [] ).

fof(thm72_6,plain,
    ! [A] :
      ( ~ p(A)
      | ~ l(sk2,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),
    [] ).

cnf(143430224,plain,
    ( ~ p(A)
    | ~ l(sk2,A) ),
    inference(rewrite,[status(thm)],[thm72_6]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[143423792,164966368,143402472,143430224]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm72_5,plain,(p(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143423792,plain,(p(sk2)),inference(rewrite,[status(thm)],[thm72_5]),[]).
% 
% fof(thm72_4,plain,(p(h(A))|~p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143420048,plain,(p(h(A))|~p(A)),inference(rewrite,[status(thm)],[thm72_4]),[]).
% 
% fof(thm72_2,plain,(p(sk1(A))|~p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143409008,plain,(p(sk1(A))|~p(A)),inference(rewrite,[status(thm)],[thm72_2]),[]).
% 
% cnf(164313128,plain,(p(sk1(sk2))),inference(resolution,[status(thm)],[143409008,143423792]),[]).
% 
% cnf(164405368,plain,(p(h(sk1(sk2)))),inference(resolution,[status(thm)],[143420048,164313128]),[]).
% 
% fof(thm72_3,plain,(p(g(A))|~p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143414600,plain,(p(g(A))|~p(A)),inference(rewrite,[status(thm)],[thm72_3]),[]).
% 
% cnf(164966368,plain,(p(g(h(sk1(sk2))))),inference(resolution,[status(thm)],[164405368,143414600]),[]).
% 
% fof(thm72_1,plain,(l(A,g(h(sk1(A))))|~p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143402472,plain,(l(A,g(h(sk1(A))))|~p(A)),inference(rewrite,[status(thm)],[thm72_1]),[]).
% 
% fof(thm72_6,plain,(~p(A)|~l(sk2,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN729-1.tptp',unknown),[]).
% 
% cnf(143430224,plain,(~p(A)|~l(sk2,A)),inference(rewrite,[status(thm)],[thm72_6]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[143423792,164966368,143402472,143430224]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------