%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN294-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:46:05 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 :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (   5 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_34,plain,
    n0(c,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(155242296,plain,
    n0(c,d),
    inference(rewrite,[status(thm)],[axiom_34]),
    [] ).

fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(155267520,plain,
    ( k1(A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_001]),
    [] ).

cnf(172106808,plain,
    k1(d),
    inference(resolution,[status(thm)],[155242296,155267520]),
    [] ).

fof(rule_109,plain,
    ! [A,B,C] :
      ( q1(A,A,B)
      | ~ p0(C,C)
      | ~ q0(B,A)
      | ~ k1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(156454704,plain,
    ( q1(A,A,B)
    | ~ p0(C,C)
    | ~ q0(B,A)
    | ~ k1(A) ),
    inference(rewrite,[status(thm)],[rule_109]),
    [] ).

fof(axiom_17,plain,
    ! [A] : q0(A,d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(155162544,plain,
    q0(A,d),
    inference(rewrite,[status(thm)],[axiom_17]),
    [] ).

cnf(169465192,plain,
    ( q1(d,d,A)
    | ~ p0(B,B)
    | ~ k1(d) ),
    inference(resolution,[status(thm)],[156454704,155162544]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(155147256,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(186725448,plain,
    q1(d,d,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172106808,169465192,155147256]),
    [] ).

fof(prove_this,plain,
    ~ q1(d,d,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),
    [] ).

cnf(159444184,plain,
    ~ q1(d,d,c),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[186725448,159444184]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(155242296,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
% 
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(155267520,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
% 
% cnf(172106808,plain,(k1(d)),inference(resolution,[status(thm)],[155242296,155267520]),[]).
% 
% fof(rule_109,plain,(q1(A,A,B)|~p0(C,C)|~q0(B,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(156454704,plain,(q1(A,A,B)|~p0(C,C)|~q0(B,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_109]),[]).
% 
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(155162544,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
% 
% cnf(169465192,plain,(q1(d,d,A)|~p0(B,B)|~k1(d)),inference(resolution,[status(thm)],[156454704,155162544]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(155147256,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(186725448,plain,(q1(d,d,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172106808,169465192,155147256]),[]).
% 
% fof(prove_this,plain,(~q1(d,d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN294-1.tptp',unknown),[]).
% 
% cnf(159444184,plain,(~q1(d,d,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186725448,159444184]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------