%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS017-1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:24:59 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_1,plain,
    e(exists),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),
    [] ).

cnf(171669408,plain,
    e(exists),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_4,plain,
    ! [A,B,C] :
      ( a(A)
      | ~ e(B)
      | ~ r(B,C)
      | ~ r(A,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),
    [] ).

cnf(171690656,plain,
    ( a(A)
    | ~ e(B)
    | ~ r(B,C)
    | ~ r(A,C) ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_3,plain,
    ! [A] :
      ( r(A,u0r3(A))
      | ~ e(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),
    [] ).

cnf(171680696,plain,
    ( r(A,u0r3(A))
    | ~ e(A) ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(182114624,plain,
    r(exists,u0r3(exists)),
    inference(resolution,[status(thm)],[171680696,171669408]),
    [] ).

cnf(182168264,plain,
    a(exists),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171669408,171690656,182114624]),
    [] ).

fof(clause_2,plain,
    ~ a(exists),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),
    [] ).

cnf(171674176,plain,
    ~ a(exists),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[182168264,171674176]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_1,plain,(e(exists)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),[]).
% 
% cnf(171669408,plain,(e(exists)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_4,plain,(a(A)|~e(B)|~r(B,C)|~r(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),[]).
% 
% cnf(171690656,plain,(a(A)|~e(B)|~r(B,C)|~r(A,C)),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_3,plain,(r(A,u0r3(A))|~e(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),[]).
% 
% cnf(171680696,plain,(r(A,u0r3(A))|~e(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(182114624,plain,(r(exists,u0r3(exists))),inference(resolution,[status(thm)],[171680696,171669408]),[]).
% 
% cnf(182168264,plain,(a(exists)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171669408,171690656,182114624]),[]).
% 
% fof(clause_2,plain,(~a(exists)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS017-1.tptp',unknown),[]).
% 
% cnf(171674176,plain,(~a(exists)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182168264,171674176]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------