%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN223-1 : 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 17:18:06 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   2 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_159,plain,
    ! [A] :
      ( p2(A,A,A)
      | ~ k1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),
    [] ).

cnf(152721632,plain,
    ( p2(A,A,A)
    | ~ k1(A) ),
    inference(rewrite,[status(thm)],[rule_159]),
    [] ).

fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),
    [] ).

cnf(150929840,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/SYN223-1.tptp',unknown),
    [] ).

cnf(150740000,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(164311592,plain,
    k1(e),
    inference(resolution,[status(thm)],[150929840,150740000]),
    [] ).

cnf(164426760,plain,
    p2(e,e,e),
    inference(resolution,[status(thm)],[152721632,164311592]),
    [] ).

fof(rule_215,plain,
    ! [A,B] :
      ( l3(A,B)
      | ~ r0(A)
      | ~ p2(A,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),
    [] ).

cnf(153472864,plain,
    ( l3(A,B)
    | ~ r0(A)
    | ~ p2(A,B,A) ),
    inference(rewrite,[status(thm)],[rule_215]),
    [] ).

fof(axiom_13,plain,
    r0(e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),
    [] ).

cnf(150805784,plain,
    r0(e),
    inference(rewrite,[status(thm)],[axiom_13]),
    [] ).

cnf(163820192,plain,
    ( l3(e,A)
    | ~ p2(e,A,e) ),
    inference(resolution,[status(thm)],[153472864,150805784]),
    [] ).

fof(prove_this,plain,
    ! [A] : ~ l3(A,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),
    [] ).

cnf(155105952,plain,
    ~ l3(A,e),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164426760,163820192,155105952]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),[]).
% 
% cnf(152721632,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
% 
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),[]).
% 
% cnf(150929840,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/SYN223-1.tptp',unknown),[]).
% 
% cnf(150740000,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(164311592,plain,(k1(e)),inference(resolution,[status(thm)],[150929840,150740000]),[]).
% 
% cnf(164426760,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[152721632,164311592]),[]).
% 
% fof(rule_215,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),[]).
% 
% cnf(153472864,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),inference(rewrite,[status(thm)],[rule_215]),[]).
% 
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),[]).
% 
% cnf(150805784,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
% 
% cnf(163820192,plain,(l3(e,A)|~p2(e,A,e)),inference(resolution,[status(thm)],[153472864,150805784]),[]).
% 
% fof(prove_this,plain,(~l3(A,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN223-1.tptp',unknown),[]).
% 
% cnf(155105952,plain,(~l3(A,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164426760,163820192,155105952]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------