%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN248-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 17:26:30 EDT 2009

% Result   : Unsatisfiable 1.2s
% Output   : Refutation 1.2s
% 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   :   12 (   2 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_26,plain,
    n0(d,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),
    [] ).

cnf(178151208,plain,
    n0(d,c),
    inference(rewrite,[status(thm)],[axiom_26]),
    [] ).

fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),
    [] ).

cnf(178218216,plain,
    ( k1(A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_001]),
    [] ).

cnf(195747240,plain,
    k1(c),
    inference(resolution,[status(thm)],[178151208,178218216]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),
    [] ).

cnf(178113240,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/SYN248-1.tptp',unknown),
    [] ).

cnf(178547424,plain,
    ( m1(A,B,B)
    | ~ k1(a)
    | ~ k1(B)
    | ~ q0(A,A) ),
    inference(rewrite,[status(thm)],[rule_034]),
    [] ).

fof(axiom_37,plain,
    n0(b,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),
    [] ).

cnf(178204248,plain,
    n0(b,a),
    inference(rewrite,[status(thm)],[axiom_37]),
    [] ).

cnf(192846192,plain,
    k1(a),
    inference(resolution,[status(thm)],[178218216,178204248]),
    [] ).

cnf(193094448,plain,
    ( m1(A,B,B)
    | ~ k1(B)
    | ~ q0(A,A) ),
    inference(resolution,[status(thm)],[178547424,192846192]),
    [] ).

fof(prove_this,plain,
    ~ m1(d,c,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),
    [] ).

cnf(182394328,plain,
    ~ m1(d,c,c),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[195747240,178113240,193094448,182394328]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),[]).
% 
% cnf(178151208,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
% 
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),[]).
% 
% cnf(178218216,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
% 
% cnf(195747240,plain,(k1(c)),inference(resolution,[status(thm)],[178151208,178218216]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),[]).
% 
% cnf(178113240,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/SYN248-1.tptp',unknown),[]).
% 
% cnf(178547424,plain,(m1(A,B,B)|~k1(a)|~k1(B)|~q0(A,A)),inference(rewrite,[status(thm)],[rule_034]),[]).
% 
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),[]).
% 
% cnf(178204248,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
% 
% cnf(192846192,plain,(k1(a)),inference(resolution,[status(thm)],[178218216,178204248]),[]).
% 
% cnf(193094448,plain,(m1(A,B,B)|~k1(B)|~q0(A,A)),inference(resolution,[status(thm)],[178547424,192846192]),[]).
% 
% fof(prove_this,plain,(~m1(d,c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN248-1.tptp',unknown),[]).
% 
% cnf(182394328,plain,(~m1(d,c,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[195747240,178113240,193094448,182394328]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------