%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN724-1 : TPTP v3.4.2. Released v2.5.0.
% 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 18:20:23 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm31_4,plain,
    ( r(sk1)
    | r(sk2) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),
    [] ).

cnf(165258768,plain,
    ( r(sk1)
    | r(sk2) ),
    inference(rewrite,[status(thm)],[thm31_4]),
    [] ).

fof(thm31_3,plain,
    ! [A] :
      ( s(A)
      | ~ r(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),
    [] ).

cnf(165252424,plain,
    ( s(A)
    | ~ r(A) ),
    inference(rewrite,[status(thm)],[thm31_3]),
    [] ).

fof(thm31_15,plain,
    ( ~ r(sk2)
    | ~ s(sk1)
    | ~ s(sk2) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),
    [] ).

fof(thm31_10,plain,
    ( r(sk2)
    | ~ s(sk1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),
    [] ).

cnf(165269112,plain,
    ( r(sk2)
    | ~ s(sk1) ),
    inference(rewrite,[status(thm)],[thm31_10]),
    [] ).

cnf(165273656,plain,
    ~ s(sk1),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm31_15,165252424,165269112]),
    [] ).

cnf(183507096,plain,
    ~ r(sk1),
    inference(resolution,[status(thm)],[165252424,165273656]),
    [] ).

cnf(183511720,plain,
    r(sk2),
    inference(resolution,[status(thm)],[165258768,183507096]),
    [] ).

fof(thm31_9,plain,
    ( r(sk1)
    | ~ r(sk2)
    | ~ s(sk2) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),
    [] ).

cnf(165263672,plain,
    ( r(sk1)
    | ~ s(sk2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm31_9,165258768]),
    [] ).

cnf(183516192,plain,
    ~ s(sk2),
    inference(resolution,[status(thm)],[165263672,183507096]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[183511720,165252424,183516192]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm31_4,plain,(r(sk1)|r(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),[]).
% 
% cnf(165258768,plain,(r(sk1)|r(sk2)),inference(rewrite,[status(thm)],[thm31_4]),[]).
% 
% fof(thm31_3,plain,(s(A)|~r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),[]).
% 
% cnf(165252424,plain,(s(A)|~r(A)),inference(rewrite,[status(thm)],[thm31_3]),[]).
% 
% fof(thm31_15,plain,(~r(sk2)|~s(sk1)|~s(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),[]).
% 
% fof(thm31_10,plain,(r(sk2)|~s(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),[]).
% 
% cnf(165269112,plain,(r(sk2)|~s(sk1)),inference(rewrite,[status(thm)],[thm31_10]),[]).
% 
% cnf(165273656,plain,(~s(sk1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm31_15,165252424,165269112]),[]).
% 
% cnf(183507096,plain,(~r(sk1)),inference(resolution,[status(thm)],[165252424,165273656]),[]).
% 
% cnf(183511720,plain,(r(sk2)),inference(resolution,[status(thm)],[165258768,183507096]),[]).
% 
% fof(thm31_9,plain,(r(sk1)|~r(sk2)|~s(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN724-1.tptp',unknown),[]).
% 
% cnf(165263672,plain,(r(sk1)|~s(sk2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm31_9,165258768]),[]).
% 
% cnf(183516192,plain,(~s(sk2)),inference(resolution,[status(thm)],[165263672,183507096]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[183511720,165252424,183516192]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------