%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LAT275-2 : TPTP v3.4.2. Released v3.2.0.
% 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 13:37:00 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,plain,
    ! [A] :
      ( ~ c_lessequals(A,v_a,tc_set(t_a))
      | c_in(c_tarski_olub(A,v_cl,t_a),v_a,t_a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),
    [] ).

cnf(165084544,plain,
    ( ~ c_lessequals(A,v_a,tc_set(t_a))
    | c_in(c_tarski_olub(A,v_cl,t_a),v_a,t_a) ),
    inference(rewrite,[status(thm)],[cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0]),
    [] ).

fof(cls_conjecture_0,plain,
    c_lessequals(v_s,v_a,tc_set(t_a)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),
    [] ).

cnf(165063768,plain,
    c_lessequals(v_s,v_a,tc_set(t_a)),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(175521352,plain,
    c_in(c_tarski_olub(v_s,v_cl,t_a),v_a,t_a),
    inference(resolution,[status(thm)],[165084544,165063768]),
    [] ).

fof(cls_conjecture_2,plain,
    ~ c_in(c_tarski_olub(v_s,v_cl,t_a),c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),
    [] ).

cnf(165068856,plain,
    ~ c_in(c_tarski_olub(v_s,v_cl,t_a),c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,
    $equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),
    [] ).

cnf(165073784,plain,
    $equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a),
    inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[175521352,165068856,165073784,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,plain,(~c_lessequals(A,v_a,tc_set(t_a))|c_in(c_tarski_olub(A,v_cl,t_a),v_a,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),[]).
% 
% cnf(165084544,plain,(~c_lessequals(A,v_a,tc_set(t_a))|c_in(c_tarski_olub(A,v_cl,t_a),v_a,t_a)),inference(rewrite,[status(thm)],[cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0]),[]).
% 
% fof(cls_conjecture_0,plain,(c_lessequals(v_s,v_a,tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),[]).
% 
% cnf(165063768,plain,(c_lessequals(v_s,v_a,tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(175521352,plain,(c_in(c_tarski_olub(v_s,v_cl,t_a),v_a,t_a)),inference(resolution,[status(thm)],[165084544,165063768]),[]).
% 
% fof(cls_conjecture_2,plain,(~c_in(c_tarski_olub(v_s,v_cl,t_a),c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),[]).
% 
% cnf(165068856,plain,(~c_in(c_tarski_olub(v_s,v_cl,t_a),c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),t_a)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT275-2.tptp',unknown),[]).
% 
% cnf(165073784,plain,($equal(c_tarski_opotype_opset(v_cl,t_a,tc_product__type_ounit),v_a)),inference(rewrite,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[175521352,165068856,165073784,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------