%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN249-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 17:26:33 EDT 2009

% Result   : Unsatisfiable 6.1s
% Output   : Refutation 6.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   11 (   2 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_37,plain,
    n0(b,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(162769704,plain,
    n0(b,a),
    inference(rewrite,[status(thm)],[axiom_37]),
    [] ).

fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(162783672,plain,
    ( k1(A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_001]),
    [] ).

cnf(180204544,plain,
    k1(a),
    inference(resolution,[status(thm)],[162769704,162783672]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(162678696,plain,
    q0(A,d),
    inference(rewrite,[status(thm)],[axiom_17]),
    [] ).

fof(rule_034,plain,
    ! [A,B] :
      ( m1(A,B,B)
      | ~ k1(a)
      | ~ k1(B)
      | ~ q0(A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(163112880,plain,
    ( m1(A,B,B)
    | ~ k1(a)
    | ~ k1(B)
    | ~ q0(A,A) ),
    inference(rewrite,[status(thm)],[rule_034]),
    [] ).

fof(axiom_3,plain,
    n0(d,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(162593832,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(176037752,plain,
    k1(e),
    inference(resolution,[status(thm)],[162783672,162593832]),
    [] ).

cnf(176358208,plain,
    ( m1(A,e,e)
    | ~ k1(a)
    | ~ q0(A,A) ),
    inference(resolution,[status(thm)],[163112880,176037752]),
    [] ).

fof(prove_this,plain,
    ~ m1(d,e,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),
    [] ).

cnf(166959800,plain,
    ~ m1(d,e,e),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[180204544,162678696,176358208,166959800]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(162769704,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
% 
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(162783672,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
% 
% cnf(180204544,plain,(k1(a)),inference(resolution,[status(thm)],[162769704,162783672]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(162678696,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
% 
% fof(rule_034,plain,(m1(A,B,B)|~k1(a)|~k1(B)|~q0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(163112880,plain,(m1(A,B,B)|~k1(a)|~k1(B)|~q0(A,A)),inference(rewrite,[status(thm)],[rule_034]),[]).
% 
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(162593832,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(176037752,plain,(k1(e)),inference(resolution,[status(thm)],[162783672,162593832]),[]).
% 
% cnf(176358208,plain,(m1(A,e,e)|~k1(a)|~q0(A,A)),inference(resolution,[status(thm)],[163112880,176037752]),[]).
% 
% fof(prove_this,plain,(~m1(d,e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN249-1.tptp',unknown),[]).
% 
% cnf(166959800,plain,(~m1(d,e,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180204544,162678696,176358208,166959800]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------