%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN112-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 16:46:54 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   2 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_130,plain,
    ( k2(e,e)
    | ~ l1(e,e) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),
    [] ).

cnf(155339800,plain,
    ( k2(e,e)
    | ~ l1(e,e) ),
    inference(rewrite,[status(thm)],[rule_130]),
    [] ).

fof(rule_002,plain,
    ! [A,B] :
      ( l1(A,A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),
    [] ).

cnf(153970240,plain,
    ( l1(A,A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_002]),
    [] ).

fof(axiom_3,plain,
    n0(d,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),
    [] ).

cnf(153766944,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(167308648,plain,
    l1(e,e),
    inference(resolution,[status(thm)],[153970240,153766944]),
    [] ).

cnf(168843376,plain,
    k2(e,e),
    inference(resolution,[status(thm)],[155339800,167308648]),
    [] ).

fof(prove_this,plain,
    ! [A] : ~ k2(e,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),
    [] ).

cnf(158132176,plain,
    ~ k2(e,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[168843376,158132176]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_130,plain,(k2(e,e)|~l1(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),[]).
% 
% cnf(155339800,plain,(k2(e,e)|~l1(e,e)),inference(rewrite,[status(thm)],[rule_130]),[]).
% 
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),[]).
% 
% cnf(153970240,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
% 
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),[]).
% 
% cnf(153766944,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(167308648,plain,(l1(e,e)),inference(resolution,[status(thm)],[153970240,153766944]),[]).
% 
% cnf(168843376,plain,(k2(e,e)),inference(resolution,[status(thm)],[155339800,167308648]),[]).
% 
% fof(prove_this,plain,(~k2(e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN112-1.tptp',unknown),[]).
% 
% cnf(158132176,plain,(~k2(e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168843376,158132176]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------