%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET060-6 : TPTP v3.4.2. Bugfixed v2.1.0.
% 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 15:26:08 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(intersection1,plain,
    ! [A,B,C] :
      ( ~ member(A,intersection(B,C))
      | member(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),
    [] ).

cnf(173803744,plain,
    ( ~ member(A,intersection(B,C))
    | member(A,B) ),
    inference(rewrite,[status(thm)],[intersection1]),
    [] ).

fof(prove_special_classes_lemma_1,plain,
    member(y,intersection(complement(x),x)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),
    [] ).

cnf(174565688,plain,
    member(y,intersection(complement(x),x)),
    inference(rewrite,[status(thm)],[prove_special_classes_lemma_1]),
    [] ).

cnf(193048288,plain,
    member(y,complement(x)),
    inference(resolution,[status(thm)],[173803744,174565688]),
    [] ).

fof(complement1,plain,
    ! [A,B] :
      ( ~ member(A,complement(B))
      | ~ member(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),
    [] ).

cnf(173822512,plain,
    ( ~ member(A,complement(B))
    | ~ member(A,B) ),
    inference(rewrite,[status(thm)],[complement1]),
    [] ).

fof(intersection2,plain,
    ! [A,B,C] :
      ( ~ member(A,intersection(B,C))
      | member(A,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),
    [] ).

cnf(173808400,plain,
    ( ~ member(A,intersection(B,C))
    | member(A,C) ),
    inference(rewrite,[status(thm)],[intersection2]),
    [] ).

cnf(193447288,plain,
    member(y,x),
    inference(resolution,[status(thm)],[173808400,174565688]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[193048288,173822512,193447288]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(intersection1,plain,(~member(A,intersection(B,C))|member(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),[]).
% 
% cnf(173803744,plain,(~member(A,intersection(B,C))|member(A,B)),inference(rewrite,[status(thm)],[intersection1]),[]).
% 
% fof(prove_special_classes_lemma_1,plain,(member(y,intersection(complement(x),x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),[]).
% 
% cnf(174565688,plain,(member(y,intersection(complement(x),x))),inference(rewrite,[status(thm)],[prove_special_classes_lemma_1]),[]).
% 
% cnf(193048288,plain,(member(y,complement(x))),inference(resolution,[status(thm)],[173803744,174565688]),[]).
% 
% fof(complement1,plain,(~member(A,complement(B))|~member(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),[]).
% 
% cnf(173822512,plain,(~member(A,complement(B))|~member(A,B)),inference(rewrite,[status(thm)],[complement1]),[]).
% 
% fof(intersection2,plain,(~member(A,intersection(B,C))|member(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET060-6.tptp',unknown),[]).
% 
% cnf(173808400,plain,(~member(A,intersection(B,C))|member(A,C)),inference(rewrite,[status(thm)],[intersection2]),[]).
% 
% cnf(193447288,plain,(member(y,x)),inference(resolution,[status(thm)],[173808400,174565688]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[193048288,173822512,193447288]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------