%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN106-1 : 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 16:44:35 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),
    [] ).

cnf(163287432,plain,
    ( k1(A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_001]),
    [] ).

fof(axiom_3,plain,
    n0(d,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),
    [] ).

cnf(163097592,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(176666256,plain,
    k1(e),
    inference(resolution,[status(thm)],[163287432,163097592]),
    [] ).

fof(prove_this,plain,
    ~ k1(e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),
    [] ).

cnf(167463568,plain,
    ~ k1(e),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[176666256,167463568]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),[]).
% 
% cnf(163287432,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
% 
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),[]).
% 
% cnf(163097592,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(176666256,plain,(k1(e)),inference(resolution,[status(thm)],[163287432,163097592]),[]).
% 
% fof(prove_this,plain,(~k1(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN106-1.tptp',unknown),[]).
% 
% cnf(167463568,plain,(~k1(e)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176666256,167463568]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------