TSTP Solution File: SWV869-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV869-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:28:56 EDT 2022

% Result   : Timeout 300.05s 300.48s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SWV869-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.07  % Command  : bliksem %s
% 0.06/0.26  % Computer : n023.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % DateTime : Wed Jun 15 05:59:50 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.59/1.01  *** allocated 10000 integers for termspace/termends
% 0.59/1.01  *** allocated 10000 integers for clauses
% 0.59/1.01  *** allocated 10000 integers for justifications
% 0.59/1.01  Bliksem 1.12
% 0.59/1.01  
% 0.59/1.01  
% 0.59/1.01  Automatic Strategy Selection
% 0.59/1.01  
% 0.59/1.01  Clauses:
% 0.59/1.01  [
% 0.59/1.01     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.59/1.01    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( X, U ), 
% 0.59/1.01    'c_Option_Ooption_OSome'( W, T ) ), =( hAPP( Y, U ), 
% 0.59/1.01    'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.59/1.01     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), ~( =( hAPP( 
% 0.59/1.01    U, Y ), 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( 'c_Map_Omap__add'( X
% 0.59/1.01    , U, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ],
% 0.59/1.01     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.59/1.01    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ), 
% 0.59/1.01    'c_Option_Ooption_ONone'( T ) ) ],
% 0.59/1.01     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.59/1.01    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ), 
% 0.59/1.01    'c_Option_Ooption_ONone'( T ) ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.59/1.01    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.59/1.01    , 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.59/1.01    Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.59/1.01    , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 0.59/1.01    Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.59/1.01     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.59/1.01    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.59/1.01    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.01    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.01    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.59/1.01    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.59/1.01    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.59/1.01    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.59/1.01    , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.01    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.01    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.59/1.01     [ =( 'c_HOL_Ominus__class_Ominus'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.59/1.01    Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.59/1.01     ) ) ],
% 0.59/1.01     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.59/1.01    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.59/1.01    'c_Finite__Set_Ofinite'( Y, X ) ), ~( 
% 0.59/1.01    'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( 
% 0.59/1.01    'c_Finite__Set_Ofold1'( T, 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    Y, Z, 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( hAPP( T, 
% 0.59/1.01    'c_Finite__Set_Ofold1'( T, Y, X ) ), 'c_Finite__Set_Ofold1'( T, Z, X ) )
% 0.59/1.01     ) ],
% 0.59/1.01     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.59/1.01    Y, X ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.01    , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.59/1.01     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.59/1.01    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.59/1.01     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T, 
% 0.59/1.01    Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 0.59/1.01    , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.59/1.01     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 0.59/1.01    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.59/1.01     ],
% 0.59/1.01     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 0.59/1.01    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.59/1.01     ],
% 0.59/1.01     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.01    , T ), X ), Y ) ) ) ],
% 0.59/1.01     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.01    , X ), T ), Y ) ) ) ],
% 0.59/1.01     [ 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( Y, X, Z, T ), Z, T ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.59/1.01    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.59/1.01    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 
% 0.59/1.01    'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.01    , Z ), T ), U, Y ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.59/1.01    , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.59/1.01    ,
% 0.59/1.01     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.59/1.01     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.59/1.01     [ 'c_Map_Omap__le'( 'c_Map_Omap__add'( X, Y, Z, T ), U, Z, T ), ~( 
% 0.59/1.01    'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ), ~( 
% 0.59/1.01    'c_Map_Omap__le'( Y, U, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ]
% 0.59/1.01    ,
% 0.59/1.01     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.59/1.01    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.01    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.59/1.01    Z, Y ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.01    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.59/1.01    Z, Y ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.59/1.01    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.59/1.01    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.59/1.01    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.59/1.01    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ), hAPP( 
% 0.59/1.01    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), X ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( 
% 0.59/1.01    Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.59/1.01     ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Z ), Y ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.59/1.01    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.59/1.01    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.59/1.01    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.59/1.01    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.59/1.01    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.59/1.01    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.59/1.01     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.59/1.01    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.59/1.01    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.59/1.01    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 0.59/1.01    'c_lessequals'( Z, Y, X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), 
% 0.59/1.01    'c_lessequals'( Y, Z, X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 0.59/1.01    'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.59/1.01    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.59/1.01    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.59/1.01    , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.59/1.01    'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 
% 0.59/1.01    'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.59/1.01     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.59/1.01    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 
% 0.59/1.01    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 
% 0.59/1.01    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.59/1.01    , T, X ) ) ), =( Z, T ) ],
% 0.59/1.01     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.59/1.01    , T, X ) ) ), =( Y, Z ) ],
% 0.59/1.01     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.59/1.01     ) ) ],
% 0.59/1.01     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.59/1.01     ) ) ],
% 0.59/1.01     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 0.59/1.01    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.59/1.01    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.59/1.01    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.01    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.59/1.01    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.59/1.01     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.59/1.01    'tc_bool' ) ), X ) ],
% 0.59/1.01     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.01    , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.59/1.01    , 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.01    X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ), T ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.01    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.01    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.59/1.01     ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.59/1.01     ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.59/1.01     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 0.59/1.01    'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.59/1.01     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.59/1.01    , X, U, Y, W ) ) ],
% 0.59/1.01     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.59/1.01    , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 
% 0.59/1.01    'tc_bool' ) ) ) ],
% 0.59/1.01     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.59/1.01    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.59/1.01    , U ) ) ],
% 0.59/1.01     [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'( 
% 0.59/1.01    'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.59/1.01     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.59/1.01    hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.59/1.01    , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.59/1.01     [ 'c_lessequals'( hAPP( X, Y ), 
% 0.59/1.01    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.59/1.01    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.59/1.01     ) ) ],
% 0.59/1.01     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.59/1.01    , =( Z, W ) ],
% 0.59/1.01     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.59/1.01    , =( Y, U ) ],
% 0.59/1.01     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OCall'( T, U, W ) ) )
% 0.59/1.01    , =( X, T ) ],
% 0.59/1.01     [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ), 
% 0.59/1.01    'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 0.59/1.01     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.01    X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y, 
% 0.59/1.01    'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.59/1.01    , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.59/1.01    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.59/1.01     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.59/1.01    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.59/1.01     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.01    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.59/1.01    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.59/1.01    'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.59/1.01     [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.59/1.01    , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.59/1.01    , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.59/1.01     ],
% 0.59/1.01     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.59/1.01     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.59/1.01     [ =( 'c_Collect'( X, Y ), X ) ],
% 0.59/1.01     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.01    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.59/1.01    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.01    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 0.59/1.02    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.59/1.02     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( 'c_Map_Omap__add'( 
% 0.59/1.02    U, X, Z, T ), Y, Z, T ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.59/1.02     ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.59/1.02     [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 0.59/1.02     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ), 
% 0.59/1.02    ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 0.59/1.02     [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Map_Odom'( Y, Z, T ), 
% 0.59/1.02    'c_Map_Odom'( X, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'( 
% 0.59/1.02    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ), 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), Y, U ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.59/1.02    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ), 
% 0.59/1.02    'tc_fun'( U, 'tc_bool' ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.59/1.02     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.59/1.02     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.59/1.02    'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ), 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.59/1.02    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.59/1.02     ) ) ), =( X, Z ) ],
% 0.59/1.02     [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ), 
% 0.59/1.02    'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.59/1.02    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.59/1.02    , U ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.59/1.02    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.59/1.02    , U ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.59/1.02    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), T ) ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( Y
% 0.59/1.02    , X, Z ), Z ) ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.02    , T ), Y ), Z ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.02    , Y ), T ), Z ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.59/1.02     ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.59/1.02     ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.59/1.02    , T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.59/1.02    , T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.59/1.02    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~( 
% 0.59/1.02    hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.59/1.02    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 0.59/1.02    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.59/1.02     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.59/1.02    , V3, V4, U ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.59/1.02     ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.59/1.02    , V3, V4, U ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.59/1.02    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.59/1.02    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.59/1.02    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 0.59/1.02    U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.59/1.02    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 0.59/1.02    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.59/1.02    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 0.59/1.02    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.59/1.02    , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 0.59/1.02    X, Y, Z, U, T, T ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.59/1.02    hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~( 
% 0.59/1.02    'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.59/1.02     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), hAPP( 
% 0.59/1.02    hAPP( X, Y ), 'c_Finite__Set_Ofold1'( X, Z, T ) ) ), hBOOL( 'c_in'( Y, Z
% 0.59/1.02    , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( Z, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), U ), W, U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U
% 0.59/1.02     ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.59/1.02     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02     ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.59/1.02    , V2, Z, Y ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.59/1.02    , Z, V2, Y ) ) ],
% 0.59/1.02     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.59/1.02     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.59/1.02     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.59/1.02    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.59/1.02    , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), X ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), X ) ],
% 0.59/1.02     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.59/1.02     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.59/1.02     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.59/1.02     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.59/1.02     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.59/1.02     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.02     ) ],
% 0.59/1.02     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.59/1.02     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.02     ) ],
% 0.59/1.02     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.59/1.02     ) ), Z, X ) ) ],
% 0.59/1.02     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.59/1.02    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.02    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), X ), X ), X ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.59/1.02    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.02    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), X ), X ), X ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.59/1.02    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.59/1.02    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.59/1.02    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, 
% 0.59/1.02    V2, V3, V4, T ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.59/1.02    , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.59/1.02    , U, V3, V4, T ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.59/1.02     ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), X ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.59/1.02    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.59/1.02    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Z ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X
% 0.59/1.02    , Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 
% 0.59/1.02    =( 'c_Map_Omap__add'( Y, T, X, Z ), 'c_Map_Omap__add'( T, Y, X, Z ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.59/1.02    , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.59/1.02    'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCall'( Y, Z, T ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OCall'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCall'( X, Y, Z ) ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.59/1.02     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 0.59/1.02    Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'( 
% 0.59/1.02    W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.59/1.02    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.59/1.02    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, 
% 0.59/1.02    Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.59/1.02     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.59/1.02    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 0.59/1.02    =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.59/1.02     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( X, T, Z ) ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, 
% 0.59/1.02    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, 
% 0.59/1.02    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.59/1.02     [ =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T ) )
% 0.59/1.02    , ~( 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T )
% 0.59/1.02     ) ), 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.59/1.02     ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), X ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.59/1.02    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 0.59/1.02    , Y, Z, T ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.59/1.02    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.59/1.02    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.59/1.02    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), X ), Y ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.59/1.02    'c_lessequals'( Z, Y, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.59/1.02     ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ), 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.59/1.02     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.59/1.02     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.59/1.02    , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.59/1.02    Z, Y, X ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.59/1.02    , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 0.59/1.02    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( Y, U ), 
% 0.59/1.02    'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ), 
% 0.59/1.02    'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.59/1.02     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.59/1.02    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.59/1.02    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.59/1.02    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.59/1.02    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.59/1.02    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.59/1.02     ],
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.59/1.02     ],
% 0.59/1.02     [ 'c_lessequals'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.59/1.02     [ 'c_lessequals'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.59/1.02    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.59/1.02    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.59/1.02    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.59/1.02     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X, 
% 0.59/1.02    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), Z ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.59/1.02    'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 
% 0.59/1.02    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.59/1.02    , 'tc_bool' ) ), T ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.02    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.59/1.02    Y, X ), Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.02    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.02    T, X ), Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.59/1.02    'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.02    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.59/1.02    Y, X ), Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.59/1.02    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.59/1.02    T, X ), Z, X ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.59/1.02    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.59/1.02    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.59/1.02    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.59/1.02    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.59/1.02    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.59/1.02    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.59/1.02    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.59/1.02     [ 'c_lessequals'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.59/1.02    'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.59/1.02    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_bool' ) )
% 0.59/1.02    , 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.59/1.02    'c_lessequals'( Y, Z, X ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( X, Z, Y ) ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( 
% 0.59/1.02    Y, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'( 
% 0.59/1.02    U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.59/1.02    X, T, U ), Z ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.59/1.02    hAPP( X, U ) ) ) ) ],
% 0.59/1.02     [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'( 
% 0.59/1.02    Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 0.59/1.02    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.59/1.02    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( 
% 0.59/1.02    'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.59/1.02    , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.59/1.02    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.59/1.02    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.59/1.02    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.59/1.02    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.59/1.02    'tc_bool' ) ) ],
% 0.59/1.02     [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y, 
% 0.59/1.02    Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.59/1.02    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.59/1.02     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.59/1.02    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'( 
% 0.59/1.02    Y, Z, X ) ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.59/1.02    'c_lessequals'( Z, Y, X ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.59/1.02     [ =( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( X, Y, Z ), Z ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( Y, X, Z ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, 
% 0.59/1.02    Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.59/1.02    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.59/1.02    'c_in'( Y, X, T ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.59/1.02    , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.59/1.02     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 
% 0.59/1.02    'c_in'( Y, X, T ) ) ],
% 0.59/1.02     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.59/1.02    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( 
% 0.59/1.02    T, X, Z ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.59/1.02     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.59/1.02    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.59/1.02    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.59/1.02    , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.59/1.02    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.59/1.02    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), 
% 0.59/1.02    hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.02    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 0.59/1.02     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.59/1.02    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.59/1.02    Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.59/1.02     ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~( 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.59/1.02     ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.02    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.59/1.02     ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 0.59/1.02    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.59/1.02     ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.59/1.02    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.59/1.02    , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.59/1.02     [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ), 
% 0.59/1.02    hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.59/1.02    , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'( 
% 0.59/1.02    T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ), 
% 0.59/1.02    'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 0.59/1.02    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 
% 0.59/1.02    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, 
% 0.59/1.02    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.59/1.02     ],
% 0.59/1.02     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 0.59/1.02    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.59/1.02     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.59/1.02     ],
% 0.59/1.02     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 0.59/1.02    'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.59/1.02    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.59/1.02    Y, Z ) ) ],
% 0.59/1.02     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 0.59/1.02    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.59/1.02    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.59/1.02    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.59/1.02     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.59/1.02    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.59/1.02     ],
% 0.59/1.02     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), hBOOL( 
% 0.59/1.02    'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ],
% 0.59/1.02     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), hBOOL( 
% 0.59/1.02    'c_in'( U, 'c_Map_Odom'( X, Z, T ), Z ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ), 
% 0.59/1.02    'c_Option_Ooption_ONone'( T ) ) ],
% 0.59/1.02     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL( 
% 0.59/1.02    'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.59/1.02     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL( 
% 0.59/1.02    'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ],
% 0.59/1.02     [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Map_Odom'( X
% 0.59/1.02    , T, U ), T ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 0.59/1.02     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~( 
% 0.59/1.02    hBOOL( 'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ) ],
% 0.59/1.02     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 0.59/1.02    'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.59/1.02     ) ],
% 0.59/1.02     [ 'c_Com_OWT'( 'c_Com_Ocom_OCall'( X, Y, Z ) ), ~( 'c_Com_OWT'( 
% 0.59/1.02    'c_Com_Ocom_OBODY'( Y ) ) ) ],
% 0.59/1.02     [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), ~( 'c_Com_OWT'( 
% 0.59/1.02    'c_Com_Ocom_OCall'( Y, X, Z ) ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.59/1.02    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.59/1.02    , X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP( 
% 0.59/1.02    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.59/1.02    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP( 
% 0.59/1.02    'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 0.59/1.02    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( 
% 0.59/1.02    'c_in'( X, Y, Z ) ) ) ],
% 0.59/1.02     [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.59/1.02    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.59/1.02    'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.59/1.02    T ) ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~( 
% 0.59/1.02    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.59/1.02     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.59/1.02    'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.59/1.02    'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.59/1.02    , Z ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.59/1.02    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.59/1.02    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), 
% 0.59/1.02    ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.59/1.02    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 0.59/1.02    'tc_Com_Ostate' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), 
% 0.59/1.02    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.59/1.02    , 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_OMGT'( Y ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.59/1.02     [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( hAPP( 'c_Com_Obody', X ), 
% 0.59/1.02    'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.59/1.02     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.59/1.02    , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.59/1.02    X, Z, T ) ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 0.59/1.02    X, Z, T ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.59/1.02    'tc_bool' ) ), Y ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.59/1.02    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 0.59/1.02    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.59/1.02     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.59/1.02     ) ), Y ) ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.59/1.02    X, T ), Y ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.59/1.02     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.59/1.02     ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.59/1.02    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.59/1.02     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.59/1.02    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.59/1.02     [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.59/1.02    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.59/1.02     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.59/1.02    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 0.59/1.02    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 0.59/1.02    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.59/1.02     ) ) ],
% 0.59/1.02     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.59/1.02    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.59/1.02     ],
% 0.59/1.02     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.59/1.02     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OSKIP' ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.59/1.02     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( 
% 0.59/1.02    'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OBODY'( X ) ), 
% 0.59/1.02    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.59/1.02    'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( hBOOL( 'c_in'( X, 'c_Map_Odom'( 
% 0.59/1.02    'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Lattices_Olattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Lattices_Olattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.59/1.02    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.59/1.02     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Orderings_Opreorder'( Y ) ) ],
% 0.59/1.02     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Lattices_Olattice'( Y ) ) ],
% 0.59/1.02     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.59/1.02    'class_Orderings_Oorder'( Y ) ) ],
% 0.59/1.02     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.59/1.02    Y ) ) ],
% 0.59/1.02     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.59/1.02    ,
% 0.59/1.02     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.59/1.02     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.59/1.02     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.59/1.02    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.59/1.02     [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.59/1.02     [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.59/1.02  ] .
% 0.59/1.02  
% 0.59/1.02  
% 0.59/1.02  percentage equality = 0.319413, percentage horn = 0.913242
% 0.59/1.02  This is a problem with some equality
% 0.59/1.02  
% 0.59/1.02  
% 0.59/1.02  
% 0.59/1.02  Options Used:
% 0.59/1.02  
% 0.59/1.02  useres =            1
% 0.59/1.02  useparamod =        1
% 0.59/1.02  useeqrefl =         1
% 0.59/1.02  useeqfact =         1
% 0.59/1.02  usefactor =         1
% 0.59/1.02  usesimpsplitting =  0
% 0.59/1.02  usesimpdemod =      5
% 0.59/1.02  usesimpres =        3
% 0.59/1.02  
% 0.59/1.02  resimpinuse      =  1000
% 0.59/1.02  resimpclauses =     20000
% 0.59/1.02  substype =          eqrewr
% 0.59/1.02  backwardsubs =      1
% 0.59/1.02  selectoldest =      5
% 0.59/1.02  
% 0.59/1.02  litorderings [0] =  split
% 0.59/1.02  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.59/1.02  
% 0.59/1.02  termordering =      kbo
% 0.59/1.02  
% 0.59/1.02  litapriori =        0
% 0.59/1.02  termapriori =       1
% 0.59/1.02  litaposteriori =    0
% 0.59/1.02  termaposteriori =   0
% 0.59/1.02  demodaposteriori =  0
% 0.59/1.02  ordereqreflfact =   0
% 0.59/1.02  
% 0.59/1.02  litselect =         negord
% 0.59/1.02  
% 0.59/1.02  maxweight =         15
% 0.59/1.02  maxdepth =          30000
% 0.59/1.02  maxlength =         115
% 0.59/1.02  maxnrvars =         195
% 0.59/1.02  excuselevel =       1
% 0.59/1.02  increasemaxweight = 1
% 0.59/1.02  
% 0.59/1.02  maxselected =       10000000
% 0.59/1.02  maxnrclauses =      10000000
% 0.59/1.02  
% 0.59/1.02  showgenerated =    0
% 0.59/1.02  showkept =         0
% 0.59/1.02  showselected =     0
% 0.59/1.02  showdeleted =      0
% 0.59/1.02  showresimp =       1
% 0.59/1.02  showstatus =       2000
% 0.59/1.02  
% 0.59/1.02  prologoutput =     1
% 0.59/1.02  nrgoals =          5000000
% 0.59/1.02  totalproof =       1
% 0.59/1.02  
% 0.59/1.02  Symbols occurring in the translation:
% 0.59/1.02  
% 0.59/1.02  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.59/1.02  .  [1, 2]      (w:1, o:119, a:1, s:1, b:0), 
% 0.59/1.02  !  [4, 1]      (w:0, o:90, a:1, s:1, b:0), 
% 5.39/5.85  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.39/5.85  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.39/5.85  'c_Map_Omap__add'  [43, 4]      (w:1, o:172, a:1, s:1, b:0), 
% 5.39/5.85  hAPP  [45, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 5.39/5.85  'c_Option_Ooption_OSome'  [47, 2]      (w:1, o:146, a:1, s:1, b:0), 
% 5.39/5.85  'c_Option_Ooption_ONone'  [48, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 5.39/5.85  'c_Set_Ovimage'  [51, 4]      (w:1, o:173, a:1, s:1, b:0), 
% 5.39/5.85  'tc_bool'  [53, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 5.39/5.85  'tc_fun'  [54, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 5.39/5.85  'c_lessequals'  [55, 3]      (w:1, o:159, a:1, s:1, b:0), 
% 5.39/5.85  'c_HOL_Ominus__class_Ominus'  [56, 3]      (w:1, o:160, a:1, s:1, b:0), 
% 5.39/5.85  'c_Lattices_Oupper__semilattice__class_Osup'  [57, 3]      (w:1, o:161, a:1
% 5.39/5.85    , s:1, b:0), 
% 5.39/5.85  'class_HOL_Ominus'  [58, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 5.39/5.85  't_a'  [59, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 5.39/5.85  'v_x'  [60, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 5.39/5.85  'c_Lattices_Olower__semilattice__class_Oinf'  [62, 1]      (w:1, o:97, a:1
% 5.39/5.85    , s:1, b:0), 
% 5.39/5.85  'class_Lattices_Olower__semilattice'  [63, 1]      (w:1, o:98, a:1, s:1, b:
% 5.39/5.85    0), 
% 5.39/5.85  'class_Lattices_Oupper__semilattice'  [68, 1]      (w:1, o:99, a:1, s:1, b:
% 5.39/5.85    0), 
% 5.39/5.85  'class_Lattices_Olattice'  [69, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 5.39/5.85  'c_Orderings_Obot__class_Obot'  [70, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 5.39/5.85  'c_Finite__Set_Ofinite'  [71, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 5.39/5.85  'c_OrderedGroup_Oab__semigroup__mult'  [73, 2]      (w:1, o:149, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'c_Finite__Set_Ofold1'  [74, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 5.39/5.85  'class_Finite__Set_Ofinite_Ofinite'  [75, 1]      (w:1, o:102, a:1, s:1, b:
% 5.39/5.85    0), 
% 5.39/5.85  'c_in'  [76, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 5.39/5.85  hBOOL  [77, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 5.39/5.85  'c_Collect'  [79, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 5.39/5.85  'c_Map_Omap__le'  [82, 4]      (w:1, o:174, a:1, s:1, b:0), 
% 5.39/5.85  'class_HOL_Oord'  [86, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 5.39/5.85  'c_Set_Oimage'  [89, 4]      (w:1, o:175, a:1, s:1, b:0), 
% 5.39/5.85  'class_Orderings_Olinorder'  [90, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 5.39/5.85  'c_Finite__Set_Olinorder__class_OMax'  [92, 2]      (w:1, o:151, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'class_OrderedGroup_Oab__group__add'  [94, 1]      (w:1, o:106, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [99, 4]      (w:1
% 5.39/5.85    , o:176, a:1, s:1, b:0), 
% 5.39/5.85  'class_Lattices_Odistrib__lattice'  [100, 1]      (w:1, o:107, a:1, s:1, b:
% 5.39/5.85    0), 
% 5.39/5.85  'c_Finite__Set_Ofold__graph'  [101, 6]      (w:1, o:178, a:1, s:1, b:0), 
% 5.39/5.85  'c_Finite__Set_Ofold1Set'  [102, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 5.39/5.85  'c_The'  [103, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 5.39/5.85  'class_Complete__Lattice_Ocomplete__lattice'  [104, 1]      (w:1, o:108, a:
% 5.39/5.85    1, s:1, b:0), 
% 5.39/5.85  'c_Com_Ocom_OCall'  [109, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 5.39/5.85  'c_Map_Odom'  [113, 3]      (w:1, o:166, a:1, s:1, b:0), 
% 5.39/5.85  'c_Set_Oinsert'  [114, 3]      (w:1, o:167, a:1, s:1, b:0), 
% 5.39/5.85  'c_Complete__Lattice_OInf__class_OInf'  [115, 2]      (w:1, o:154, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'c_Complete__Lattice_OSup__class_OSup'  [116, 2]      (w:1, o:155, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'class_Orderings_Oorder'  [121, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 5.39/5.85  'c_SetInterval_Oord__class_OatLeastAtMost'  [122, 3]      (w:1, o:168, a:1
% 5.39/5.85    , s:1, b:0), 
% 5.39/5.85  'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'  [124, 3]      (w:1, o:169
% 5.39/5.85    , a:1, s:1, b:0), 
% 5.39/5.85  'c_Complete__Lattice_Ocomplete__lattice'  [133, 9]      (w:1, o:179, a:1
% 5.39/5.85    , s:1, b:0), 
% 5.39/5.85  'c_Finite__Set_Olinorder__class_OMin'  [135, 2]      (w:1, o:156, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'class_Lattices_Obounded__lattice'  [136, 1]      (w:1, o:110, a:1, s:1, b:
% 5.39/5.85    0), 
% 5.39/5.85  'class_Orderings_Obot'  [137, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 5.39/5.85  'c_Com_Ocom_OBODY'  [139, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 5.39/5.85  'c_Com_Ocom_OSKIP'  [140, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 5.39/5.85  'c_Hoare__Mirabelle_Ohoare__valids'  [142, 3]      (w:1, o:170, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'c_Hoare__Mirabelle_Ohoare__derivs'  [143, 3]      (w:1, o:171, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'c_Hoare__Mirabelle_Otriple_Otriple'  [147, 4]      (w:1, o:177, a:1, s:1
% 5.39/5.85    , b:0), 
% 5.39/5.85  'class_Orderings_Opreorder'  [151, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 5.39/5.85  'c_fequal'  [153, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 26.57/26.99  'class_OrderedGroup_Opordered__ab__group__add'  [154, 1]      (w:1, o:114
% 26.57/26.99    , a:1, s:1, b:0), 
% 26.57/26.99  'c_Option_Othe'  [155, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 26.57/26.99  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [156, 2]      (w:1, o:145, a:1
% 26.57/26.99    , s:1, b:0), 
% 26.57/26.99  'c_Set_Ocontents'  [157, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 26.57/26.99  'c_Com_OWT'  [164, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 26.57/26.99  'tc_Hoare__Mirabelle_Otriple'  [165, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 26.57/26.99  'c_Com_Obody'  [166, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 26.57/26.99  'tc_Com_Ocom'  [167, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 26.57/26.99  'tc_Com_Ostate'  [168, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 26.57/26.99  'c_Hoare__Mirabelle_OMGT'  [169, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 26.57/26.99  'tc_Com_Opname'  [170, 0]      (w:1, o:81, a:1, s:1, b:0), 
% 26.57/26.99  'c_Hoare__Mirabelle_Ostate__not__singleton'  [172, 0]      (w:1, o:83, a:1
% 26.57/26.99    , s:1, b:0), 
% 26.57/26.99  'v_G'  [174, 0]      (w:1, o:85, a:1, s:1, b:0), 
% 26.57/26.99  'tc_nat'  [177, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 26.57/26.99  'tc_Option_Ooption'  [178, 1]      (w:1, o:118, a:1, s:1, b:0).
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Starting Search:
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    7890
% 26.57/26.99  Kept:         2011
% 26.57/26.99  Inuse:        191
% 26.57/26.99  Deleted:      5
% 26.57/26.99  Deletedinuse: 0
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    14045
% 26.57/26.99  Kept:         4025
% 26.57/26.99  Inuse:        297
% 26.57/26.99  Deleted:      7
% 26.57/26.99  Deletedinuse: 1
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    19212
% 26.57/26.99  Kept:         6073
% 26.57/26.99  Inuse:        329
% 26.57/26.99  Deleted:      8
% 26.57/26.99  Deletedinuse: 1
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    30276
% 26.57/26.99  Kept:         8095
% 26.57/26.99  Inuse:        393
% 26.57/26.99  Deleted:      25
% 26.57/26.99  Deletedinuse: 2
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    43582
% 26.57/26.99  Kept:         10700
% 26.57/26.99  Inuse:        408
% 26.57/26.99  Deleted:      25
% 26.57/26.99  Deletedinuse: 2
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    51525
% 26.57/26.99  Kept:         12718
% 26.57/26.99  Inuse:        447
% 26.57/26.99  Deleted:      26
% 26.57/26.99  Deletedinuse: 3
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    60483
% 26.57/26.99  Kept:         14726
% 26.57/26.99  Inuse:        513
% 26.57/26.99  Deleted:      27
% 26.57/26.99  Deletedinuse: 4
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    68873
% 26.57/26.99  Kept:         16776
% 26.57/26.99  Inuse:        533
% 26.57/26.99  Deleted:      29
% 26.57/26.99  Deletedinuse: 6
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    78544
% 26.57/26.99  Kept:         21739
% 26.57/26.99  Inuse:        562
% 26.57/26.99  Deleted:      29
% 26.57/26.99  Deletedinuse: 6
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying clauses:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    87370
% 26.57/26.99  Kept:         23770
% 26.57/26.99  Inuse:        633
% 26.57/26.99  Deleted:      241
% 26.57/26.99  Deletedinuse: 7
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    95895
% 26.57/26.99  Kept:         26213
% 26.57/26.99  Inuse:        683
% 26.57/26.99  Deleted:      241
% 26.57/26.99  Deletedinuse: 7
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  
% 26.57/26.99  Intermediate Status:
% 26.57/26.99  Generated:    107205
% 26.57/26.99  Kept:         28750
% 26.57/26.99  Inuse:        703
% 26.57/26.99  Deleted:      241
% 26.57/26.99  Deletedinuse: 7
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/26.99  Done
% 26.57/26.99  
% 26.57/26.99  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    117514
% 26.57/27.00  Kept:         32307
% 26.57/27.00  Inuse:        729
% 26.57/27.00  Deleted:      243
% 26.57/27.00  Deletedinuse: 9
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    129676
% 26.57/27.00  Kept:         34828
% 26.57/27.00  Inuse:        748
% 26.57/27.00  Deleted:      243
% 26.57/27.00  Deletedinuse: 9
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    139677
% 26.57/27.00  Kept:         36844
% 26.57/27.00  Inuse:        768
% 26.57/27.00  Deleted:      244
% 26.57/27.00  Deletedinuse: 10
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    151254
% 26.57/27.00  Kept:         39105
% 26.57/27.00  Inuse:        798
% 26.57/27.00  Deleted:      244
% 26.57/27.00  Deletedinuse: 10
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    164143
% 26.57/27.00  Kept:         41658
% 26.57/27.00  Inuse:        828
% 26.57/27.00  Deleted:      244
% 26.57/27.00  Deletedinuse: 10
% 26.57/27.00  
% 26.57/27.00  Resimplifying clauses:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  
% 26.57/27.00  Intermediate Status:
% 26.57/27.00  Generated:    171929
% 26.57/27.00  Kept:         43671
% 26.57/27.00  Inuse:        863
% 26.57/27.00  Deleted:      401
% 26.57/27.00  Deletedinuse: 10
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 26.57/27.00  Done
% 26.57/27.00  
% 26.57/27.00  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    181009
% 98.64/99.08  Kept:         45804
% 98.64/99.08  Inuse:        903
% 98.64/99.08  Deleted:      401
% 98.64/99.08  Deletedinuse: 10
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    187445
% 98.64/99.08  Kept:         47857
% 98.64/99.08  Inuse:        924
% 98.64/99.08  Deleted:      401
% 98.64/99.08  Deletedinuse: 10
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    210532
% 98.64/99.08  Kept:         50481
% 98.64/99.08  Inuse:        948
% 98.64/99.08  Deleted:      402
% 98.64/99.08  Deletedinuse: 11
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    225183
% 98.64/99.08  Kept:         53590
% 98.64/99.08  Inuse:        954
% 98.64/99.08  Deleted:      402
% 98.64/99.08  Deletedinuse: 11
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    239414
% 98.64/99.08  Kept:         56765
% 98.64/99.08  Inuse:        990
% 98.64/99.08  Deleted:      402
% 98.64/99.08  Deletedinuse: 11
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    257570
% 98.64/99.08  Kept:         59326
% 98.64/99.08  Inuse:        1008
% 98.64/99.08  Deleted:      403
% 98.64/99.08  Deletedinuse: 12
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    278479
% 98.64/99.08  Kept:         61400
% 98.64/99.08  Inuse:        1018
% 98.64/99.08  Deleted:      403
% 98.64/99.08  Deletedinuse: 12
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying clauses:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    289191
% 98.64/99.08  Kept:         63476
% 98.64/99.08  Inuse:        1048
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    297006
% 98.64/99.08  Kept:         66136
% 98.64/99.08  Inuse:        1061
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    310312
% 98.64/99.08  Kept:         68171
% 98.64/99.08  Inuse:        1096
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    319712
% 98.64/99.08  Kept:         70308
% 98.64/99.08  Inuse:        1123
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    334321
% 98.64/99.08  Kept:         72316
% 98.64/99.08  Inuse:        1176
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    344086
% 98.64/99.08  Kept:         74325
% 98.64/99.08  Inuse:        1198
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    351185
% 98.64/99.08  Kept:         76735
% 98.64/99.08  Inuse:        1211
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    359502
% 98.64/99.08  Kept:         78804
% 98.64/99.08  Inuse:        1233
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    371302
% 98.64/99.08  Kept:         80819
% 98.64/99.08  Inuse:        1260
% 98.64/99.08  Deleted:      537
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying clauses:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    391681
% 98.64/99.08  Kept:         84733
% 98.64/99.08  Inuse:        1275
% 98.64/99.08  Deleted:      830
% 98.64/99.08  Deletedinuse: 13
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    399050
% 98.64/99.08  Kept:         86930
% 98.64/99.08  Inuse:        1308
% 98.64/99.08  Deleted:      1080
% 98.64/99.08  Deletedinuse: 263
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    415155
% 98.64/99.08  Kept:         89308
% 98.64/99.08  Inuse:        1339
% 98.64/99.08  Deleted:      1110
% 98.64/99.08  Deletedinuse: 269
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    423838
% 98.64/99.08  Kept:         91315
% 98.64/99.08  Inuse:        1377
% 98.64/99.08  Deleted:      1112
% 98.64/99.08  Deletedinuse: 271
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    437581
% 98.64/99.08  Kept:         94356
% 98.64/99.08  Inuse:        1388
% 98.64/99.08  Deleted:      1116
% 98.64/99.08  Deletedinuse: 274
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    448772
% 98.64/99.08  Kept:         96798
% 98.64/99.08  Inuse:        1392
% 98.64/99.08  Deleted:      1117
% 98.64/99.08  Deletedinuse: 274
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    465223
% 98.64/99.08  Kept:         99310
% 98.64/99.08  Inuse:        1412
% 98.64/99.08  Deleted:      1117
% 98.64/99.08  Deletedinuse: 274
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 98.64/99.08  Generated:    483798
% 98.64/99.08  Kept:         101393
% 98.64/99.08  Inuse:        1435
% 98.64/99.08  Deleted:      1117
% 98.64/99.08  Deletedinuse: 274
% 98.64/99.08  
% 98.64/99.08  Resimplifying clauses:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  Resimplifying inuse:
% 98.64/99.08  Done
% 98.64/99.08  
% 98.64/99.08  
% 98.64/99.08  Intermediate Status:
% 300.05/300.48  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------