TSTP Solution File: SWV828-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV828-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 16:28:42 EDT 2022

% Result   : Timeout 300.02s 300.44s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV828-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.15  % Command  : bliksem %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Wed Jun 15 15:02:11 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.97/1.35  *** allocated 10000 integers for termspace/termends
% 0.97/1.35  *** allocated 10000 integers for clauses
% 0.97/1.35  *** allocated 10000 integers for justifications
% 0.97/1.35  *** allocated 15000 integers for termspace/termends
% 0.97/1.35  Bliksem 1.12
% 0.97/1.35  
% 0.97/1.35  
% 0.97/1.35  Automatic Strategy Selection
% 0.97/1.35  
% 0.97/1.35  Clauses:
% 0.97/1.35  [
% 0.97/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z, T ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 0.97/1.35    'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) ],
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y, 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 0.97/1.35    , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.97/1.35    , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), Z ), T, X ), 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), ~( 'c_Fun_Osurj'( Y, T, X ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Osurj'( Z, T, Y ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( Z, X, T, Y ), T ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), Y, U ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.97/1.35    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, U ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), Y, U ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.97/1.35    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ), 
% 0.97/1.35    'tc_fun'( U, 'tc_bool' ) ) ],
% 0.97/1.35     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.97/1.35     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.97/1.35     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.97/1.35     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.97/1.35     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.97/1.35     ), =( Y, W ) ],
% 0.97/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 0.97/1.35    Y, Z ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.97/1.35     ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ) ), T ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), T ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.97/1.35    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.97/1.35    ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 0.97/1.35     ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.97/1.35     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.97/1.35    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( U, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.97/1.35    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ) ), Y ), Y ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), Y ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), X ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( 
% 0.97/1.35    T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.97/1.35    , Z, 'tc_fun'( T, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Y, X ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.97/1.35     [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    Z ) ) ), =( Y, Z ) ],
% 0.97/1.35     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.35     ), =( Z, Y ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.35    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.97/1.35    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ), 
% 0.97/1.35    ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.97/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.97/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.97/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.97/1.35     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ), 
% 0.97/1.35    ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.97/1.35    , Y, X ), Z, X ), ~( 'c_in'( Z, Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, 
% 0.97/1.35    X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ), 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z, 
% 0.97/1.35    Y, U ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_in'( Z, T, X ) ), ~( 'c_lessequals'( Y, 'c_Finite__Set_Ofold1'( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X ), X ) ), =( T, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.97/1.35    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.97/1.35    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), Y, U ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.97/1.35    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 
% 0.97/1.35    'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.97/1.35    , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( 
% 0.97/1.35    Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.97/1.35    , U ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.97/1.35    , X, U, Y, W ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.97/1.35     [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.97/1.35    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.97/1.35    , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.97/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.97/1.35     ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.97/1.35    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.97/1.35    'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 0.97/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), 
% 0.97/1.35    'c_lessequals'( Y, Z, X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 0.97/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Z ), Y ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), X ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'( 
% 0.97/1.35    Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.97/1.35     ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 
% 0.97/1.35    Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.97/1.35    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_Fun_Oinj__on'( X
% 0.97/1.35    , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U, 
% 0.97/1.35    Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.97/1.35    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.97/1.35    , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), Z ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 0.97/1.35     ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( 'c_lessequals'( U, T, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( Y, X ) ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Ofold1'( T, 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    Y, Z, 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( hAPP( T, 
% 0.97/1.35    'c_Finite__Set_Ofold1'( T, Y, X ) ), 'c_Finite__Set_Ofold1'( T, Z, X ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    Y, X ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , T ), X ), Y ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , X ), T ), Y ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.97/1.35     ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( 
% 0.97/1.35    X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.97/1.35    , Z ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, Y ), ~( 'c_Fun_Osurj'( X, Y, Y ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y ) ) ],
% 0.97/1.35     [ 'c_Fun_Osurj'( X, Y, Y ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Y ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_lessequals'( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_lessequals'( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ), 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ), 
% 0.97/1.35    Y ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    X ), Y ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    X ), Y ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    X ), Y ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    X ), Y ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 0.97/1.35    X ), Y ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), U, Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.97/1.35    , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.97/1.35    , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 0.97/1.35    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 0.97/1.35    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 0.97/1.35    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 0.97/1.35    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 0.97/1.35    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), 
% 0.97/1.35    X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.97/1.35     ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.97/1.35    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( 
% 0.97/1.35    Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 0.97/1.35     ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U, 
% 0.97/1.35    'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( Y, T, U ) ) ],
% 0.97/1.35     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.97/1.35     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.97/1.35     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.97/1.35    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 0.97/1.35    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.97/1.35    , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'( 
% 0.97/1.35    Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.97/1.35    , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.97/1.35    , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.97/1.35    , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Z ), T ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.97/1.35    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_lessequals'( T, W
% 0.97/1.35    , 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y, T ), 
% 0.97/1.35    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), 
% 0.97/1.35    'c_Set_Oimage'( X, Z, Y, T ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, T ) ) ],
% 0.97/1.35     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.97/1.35    ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 0.97/1.35    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.97/1.35    , Y ) ],
% 0.97/1.35     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.97/1.35    , Y ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ), Z ), T ) ), T ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 0.97/1.35     ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 0.97/1.35     ), ~( 'c_lessequals'( U, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.97/1.35    , X ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 0.97/1.35    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.97/1.35    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.35     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.97/1.35    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.35    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 0.97/1.35    'c_lessequals'( Z, Y, X ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.97/1.35    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.97/1.35    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.97/1.35    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 0.97/1.35    U, V0 ) ), 'c_in'( Z, T, U ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ) ), 'c_in'( Y, T, X ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), T ) ), 'c_in'( Z, Y, X ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.97/1.35    , Z ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.35    , T ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.97/1.35    ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.35     ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.35    , T ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 
% 0.97/1.35    T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.97/1.35    , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.97/1.35    , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Z ), T ), X ) ), ~( 'c_in'( Y, T, X ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, 
% 0.97/1.35    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), T ), X ) ), ~( 'c_in'( Z, Y, X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.97/1.35    , T, Z ) ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 
% 0.97/1.35    'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.97/1.35    'c_Set_Oimage'( X, W, T, U ) ), 'c_in'( Y, W, T ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), 
% 0.97/1.35    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.97/1.35     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.97/1.35     ],
% 0.97/1.35     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.35    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.35    , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( 
% 0.97/1.35    Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.97/1.35    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.97/1.35    , 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), 'c_in'( U, T, Z ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( 'c_in'( Y, Z, 
% 0.97/1.35    X ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 0.97/1.35     ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 0.97/1.35     ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 0.97/1.35    'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 
% 0.97/1.35    'c_Fun_Oinj__on'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 0.97/1.35    ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.97/1.35    , 'c_Set_Oinsert'( T, Z, X ) ), X ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), X ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.97/1.35    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.97/1.35    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.97/1.35     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 
% 0.97/1.35    'c_in'( X, Z, Y ) ) ],
% 0.97/1.35     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 
% 0.97/1.35    'c_in'( X, Z, Y ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35     ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Y ) ],
% 0.97/1.35     [ 'c_in'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Z ), Y ), 'c_in'( X, Z, Y ) ],
% 0.97/1.35     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), Z ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , T ), Y ), Z ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35    , Y ), T ), Z ) ) ],
% 0.97/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.97/1.35    'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.97/1.35    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~( 
% 0.97/1.35    'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.97/1.35     ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ), 
% 0.97/1.35    'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.97/1.35    , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.97/1.35    'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ), ~( 'c_Fun_Oinj__on'( X, W, 
% 0.97/1.35    T, U ) ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.35    , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 0.97/1.35     ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.35     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 0.97/1.35    ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.35     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), X ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, Z ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.97/1.35     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ), 
% 0.97/1.35    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.97/1.35    , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.97/1.35     ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), X ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.97/1.35    'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    T, X ), Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.97/1.35    Y, X ), Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.97/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.97/1.35    'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    T, X ), Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 0.97/1.35    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 0.97/1.35    Y, X ), Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 0.97/1.35    'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 0.97/1.35    'c_lessequals'( Y, Z, X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 0.97/1.35    'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ), Y, X ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'( 
% 0.97/1.35    X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.97/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.97/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 0.97/1.35    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'( 
% 0.97/1.35    'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U, 
% 0.97/1.35    'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.97/1.35    , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35    , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.35    , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35     ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.97/1.35     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.97/1.35     ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ), T ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.97/1.35    , 'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.97/1.35    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.97/1.35    , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.35    , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z, T ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z, T ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T
% 0.97/1.35    , X ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), Z ), U ), T, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.97/1.35    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), X ), Y ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.97/1.35    , Z ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), hAPP( 
% 0.97/1.35    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ) ), hAPP( hAPP( 
% 0.97/1.35    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.97/1.35     ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), Y ), T ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T )
% 0.97/1.35    , 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), hAPP( 
% 0.97/1.35    hAPP( X, Y ), 'c_Finite__Set_Ofold1'( X, Z, T ) ) ), 'c_in'( Y, Z, T ), 
% 0.97/1.35    ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( Z, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.97/1.35     [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.97/1.35     ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), Y ), ~( 
% 0.97/1.35    'c_Fun_Osurj'( X, Z, T ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( X, 
% 0.97/1.35    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ), 
% 0.97/1.35    ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( X, Y, 
% 0.97/1.35    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~( 
% 0.97/1.35    'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.97/1.35     ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.97/1.35    , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), 
% 0.97/1.35    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.97/1.35     ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , ~( hBOOL( hAPP( hAPP( T, 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.97/1.35     ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.97/1.35    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W )
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.97/1.35    , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.97/1.35    , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.97/1.35    , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( Y, 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , ~( hBOOL( hAPP( hAPP( T, 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.97/1.35    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.97/1.35    , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 0.97/1.35    hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z )
% 0.97/1.35    , W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( Y, 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.97/1.35    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( U, W ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.97/1.35    , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.97/1.35     ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 0.97/1.35    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U )
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, 
% 0.97/1.35    V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35    , hBOOL( hAPP( hAPP( U, W ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.97/1.35     ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 0.97/1.35    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.97/1.35    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.97/1.35    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( 
% 0.97/1.35    Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( 'c_in'( U, T, Z ) ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.97/1.35     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 0.97/1.35    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.97/1.35    T ), 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z ) ), Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 0.97/1.35     ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( 'c_in'( 
% 0.97/1.35    U, T, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'( 
% 0.97/1.35    'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.97/1.35    , T ) ), U ), Y ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.97/1.35    , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 
% 0.97/1.35    'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 0.97/1.35    'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, 
% 0.97/1.35    X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 0.97/1.35    'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 0.97/1.35    , X ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( 
% 0.97/1.35    Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), 
% 0.97/1.35    'c_SetInterval_Oord__class_OlessThan'( Y, X ) ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 0.97/1.35    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( 
% 0.97/1.35    X, T, Y ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 0.97/1.35    hAPP( X, Y ), W ), U, U ), 'c_in'( Z, T, U ), ~( 
% 0.97/1.35    'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.97/1.35     [ =( 'c_COMBC'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP( 
% 0.97/1.35    'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.97/1.35     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.97/1.35    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.97/1.35    'tc_bool' ) ), W ) ), U, W, V0 ) ), ~( 'c_in'( T, Z, W ) ) ],
% 0.97/1.35     [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 
% 0.97/1.35    'c_in'( Z, Y, X ) ), ~( 'c_lessequals'( Y, 'c_Set_Oinsert'( Z, T, X ), 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.35     ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), T, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), ~( 'c_in'( Z, Y, X ) ), 'c_in'( Z, T, X ), 
% 0.97/1.35    ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( Z, T, X ), 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.97/1.35    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X )
% 0.97/1.35    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T )
% 0.97/1.35     ],
% 0.97/1.35     [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.97/1.35    , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 0.97/1.35    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), X )
% 0.97/1.35    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 
% 0.97/1.35    'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y, 
% 0.97/1.35    'tc_nat' ) ), 'c_in'( T, Z, Y ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.97/1.35     ), ~( 'c_in'( T, Z, W ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 0.97/1.35    'tc_bool' ) ), W ) ), U, W, V0 ) ) ],
% 0.97/1.35     [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z ) ), Z, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 
% 0.97/1.35    'c_Set_Oinsert'( Y, T, Z ), Z, U ) ) ],
% 0.97/1.35     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP( 
% 0.97/1.35    X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), T, U )
% 0.97/1.35    , U ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 0.97/1.35    'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), T, U ), U ) ), ~( 'c_in'( Y, W, T ) ) ],
% 0.97/1.35     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), U ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ), T ), W, T, T ), 'c_in'( Z, U, T ), ~( 'c_in'( Y, U
% 0.97/1.35    , T ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, U, W, T, T ) ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), Z
% 0.97/1.35     ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), 
% 0.97/1.35    'c_Set_Oinsert'( X, Z, Y ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ), 
% 0.97/1.35    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), X ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 0.97/1.35    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), X ) ) ), T ) ) ],
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.97/1.35     ],
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), X ) )
% 0.97/1.35    , 'c_in'( Y, T, X ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~( 
% 0.97/1.35    'c_in'( Y, T, X ) ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.97/1.35    , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.97/1.35     ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ) ), T ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 
% 0.97/1.35    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T )
% 0.97/1.35    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z
% 0.97/1.35     ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ), 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z, 
% 0.97/1.35    'tc_fun'( X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.97/1.35     ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X, 
% 0.97/1.35    T, Y ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.97/1.35    T ), U ) ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U, 
% 0.97/1.35    T ), U ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.97/1.35    , Z, U ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.97/1.35    , Z, U ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.97/1.35    , Z, U ) ) ],
% 0.97/1.35     [ 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Z ), T ), Y ), 'c_in'( X, T, Y ), ~( 'c_in'( X, Z, Y ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Z ), T ), Y ), 'c_in'( X, T, Y ), ~( 'c_in'( X, Z, Y ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 0.97/1.35     ],
% 0.97/1.35     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 0.97/1.35     ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~( 
% 0.97/1.35    'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.97/1.35     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35    , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.97/1.35    , 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), U, Y ), hAPP( hAPP( 
% 0.97/1.35    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Ovimage'( 
% 0.97/1.35    X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.97/1.35    , T ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.97/1.35    , Z ) ],
% 0.97/1.35     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 0.97/1.35    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.97/1.35    , U ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 0.97/1.35    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.97/1.35    , U ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'( 
% 0.97/1.35    Z, T, Y ) ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 0.97/1.35    X, T, U ), Z ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 0.97/1.35    hAPP( X, U ) ) ) ) ],
% 0.97/1.35     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.97/1.35     [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 0.97/1.35    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 0.97/1.35    T ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ), ~( 
% 0.97/1.35    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.97/1.35     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.35     ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ), 
% 0.97/1.35    'c_in'( Y, Z, X ) ],
% 0.97/1.35     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 0.97/1.35    'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), X ), X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 0.97/1.35    'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 0.97/1.35    hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~( 
% 0.97/1.35    'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.97/1.35    'c_Com_Obody', X ) ), Y, Z ) ) ],
% 0.97/1.35     [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 
% 0.97/1.35    'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP( 
% 0.97/1.35    'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 0.97/1.35    'c_in'( U, T, Z ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP'
% 0.97/1.35     ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 0.97/1.35    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( 
% 0.97/1.35    T, U ) ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 0.97/1.35    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.97/1.35    , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.97/1.35     ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 
% 0.97/1.35    'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 0.97/1.35    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 0.97/1.35    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.97/1.35     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.35     ), Y ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.35     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.35     ), Y ) ) ],
% 0.97/1.35     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.35     ), Y ) ) ],
% 0.97/1.35     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.97/1.35    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.97/1.35    U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.97/1.35    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.97/1.35    U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.97/1.35     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.97/1.35    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 0.97/1.35    U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.97/1.35    , Z ) ) ],
% 0.97/1.35     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.35     ) ), Y ) ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), X ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( 
% 0.97/1.35    X, 'tc_bool' ) ), Y ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 0.97/1.35    X, T ), Y ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'( 
% 0.97/1.35    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 
% 0.97/1.35    'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.97/1.35    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.97/1.35    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.97/1.35    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.97/1.35    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 0.97/1.35    'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'( 
% 0.97/1.35    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.97/1.35     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.97/1.35    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.97/1.35    , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.97/1.35    Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 
% 0.97/1.35    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'( 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.97/1.35    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.97/1.35     ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 
% 0.97/1.35    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.97/1.35    , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 
% 0.97/1.35    'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 
% 0.97/1.35    'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.97/1.35    , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.97/1.35    , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname', 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.97/1.35    , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), T ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.97/1.35    , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), Z ) ) ],
% 0.97/1.35     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), X ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.35     [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.97/1.35     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.97/1.35     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.97/1.35    , W ) ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 0.97/1.35    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 0.97/1.35    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.35    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.97/1.35     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.97/1.35     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.97/1.35     ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 0.97/1.35    'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.97/1.35     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 0.97/1.35    'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.97/1.35     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.35    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.35     ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.35    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.35     ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.35     ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.35     [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.97/1.35    , =( X, Y ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.97/1.35     [ =( 'c_Set_Oinsert'( X, Y, Z ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, 
% 0.97/1.35    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, 
% 0.97/1.35    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.35     [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 
% 0.97/1.35    'tc_bool' ) ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.35     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.35     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 0.97/1.35    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.97/1.35     ) ), Z, X ) ) ],
% 0.97/1.35     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.35    , U ), U ) ],
% 0.97/1.35     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.35    , U ), U ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.35    , Z, T ) ) ],
% 0.97/1.35     [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.35    , Z, T ) ) ],
% 0.97/1.35     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 0.97/1.35    'c_Lattices_Oupper__semilattice__class_Osup'( 'v_G', 'c_Set_Oimage'( 
% 0.97/1.35    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.97/1.35    't_a' ), 'v_P', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.97/1.35    , 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.97/1.35     ), 'tc_Com_Opname' ), 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom'
% 0.97/1.35    , 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'v_Q', 'tc_Com_Opname', 
% 0.97/1.35    'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs', 'tc_Com_Opname', 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_fun'( 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'c_Set_Oimage'( 
% 0.97/1.35    'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 
% 0.97/1.35    't_a' ), 'v_P', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.97/1.35    , 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 
% 0.97/1.35    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.97/1.35     ), 'tc_Com_Opname' ), 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 
% 0.97/1.35    'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 
% 0.97/1.35    'tc_Com_Opname' ), 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 
% 0.97/1.35    't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'v_Q', 'tc_Com_Opname', 
% 0.97/1.35    'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs', 'tc_Com_Opname', 
% 0.97/1.35    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ],
% 0.97/1.35     [ 'c_in'( 'v_pn', 'v_Procs', 'tc_Com_Opname' ) ],
% 0.97/1.35     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 0.97/1.35    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', 
% 0.97/1.35    'v_pn' ) ), hAPP( 'c_Com_Ocom_OBODY', 'v_pn' ) ), hAPP( 'v_Q', 'v_pn' ) )
% 0.97/1.35    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 0.97/1.35    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.97/1.35     ) ],
% 0.97/1.35     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.97/1.35     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 0.97/1.35    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.97/1.35     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Orderings_Opreorder'( Y ) ) ],
% 0.97/1.35     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.35     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 0.97/1.35    'class_Orderings_Oorder'( Y ) ) ],
% 0.97/1.35     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 0.97/1.35    Y ) ) ],
% 0.97/1.35     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 0.97/1.35    Y ) ) ],
% 0.97/1.35     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.97/1.35     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.97/1.35     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 0.97/1.35    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.97/1.35    , W ) ) ) ],
% 0.97/1.35     [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.97/1.35     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.97/1.35    ,
% 0.97/1.35     [ 'c_fequal'( X, X, Y ) ],
% 0.97/1.35     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.97/1.35  ] .
% 0.97/1.35  
% 0.97/1.35  
% 0.97/1.35  percentage equality = 0.268808, percentage horn = 0.896364
% 0.97/1.35  This is a problem with some equality
% 0.97/1.35  
% 0.97/1.35  
% 0.97/1.35  
% 0.97/1.35  Options Used:
% 0.97/1.35  
% 0.97/1.35  useres =            1
% 0.97/1.35  useparamod =        1
% 0.97/1.35  useeqrefl =         1
% 0.97/1.35  useeqfact =         1
% 0.97/1.35  usefactor =         1
% 0.97/1.35  usesimpsplitting =  0
% 0.97/1.35  usesimpdemod =      5
% 0.97/1.35  usesimpres =        3
% 0.97/1.35  
% 0.97/1.35  resimpinuse      =  1000
% 0.97/1.35  resimpclauses =     20000
% 0.97/1.35  substype =          eqrewr
% 0.97/1.35  backwardsubs =      1
% 0.97/1.35  selectoldest =      5
% 0.97/1.35  
% 0.97/1.35  litorderings [0] =  split
% 0.97/1.35  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.97/1.35  
% 0.97/1.35  termordering =      kbo
% 0.97/1.35  
% 0.97/1.35  litapriori =        0
% 0.97/1.35  termapriori =       1
% 0.97/1.35  litaposteriori =    0
% 0.97/1.35  termaposteriori =   0
% 0.97/1.35  demodaposteriori =  0
% 0.97/1.35  ordereqreflfact =   0
% 0.97/1.35  
% 0.97/1.35  litselect =         negord
% 0.97/1.35  
% 0.97/1.35  maxweight =         15
% 0.97/1.35  maxdepth =          30000
% 0.97/1.35  maxlength =         115
% 0.97/1.35  maxnrvars =         195
% 0.97/1.35  excuselevel =       1
% 0.97/1.35  increasemaxweight = 1
% 0.97/1.35  
% 0.97/1.35  maxselected =       10000000
% 0.97/1.35  maxnrclauses =      10000000
% 0.97/1.35  
% 0.97/1.35  showgenerated =    0
% 0.97/1.35  showkept =         0
% 0.97/1.35  showselected =     0
% 0.97/1.35  showdeleted =      0
% 0.97/1.35  showresimp =       1
% 0.97/1.35  showstatus =       2000
% 0.97/1.35  
% 0.97/1.35  prologoutput =     1
% 0.97/1.35  nrgoals =          5000000
% 0.97/1.35  totalproof =       1
% 0.97/1.35  
% 0.97/1.35  Symbols occurring in the translation:
% 0.97/1.35  
% 0.97/1.35  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.97/1.35  .  [1, 2]      (w:1, o:128, a:1, s:1, b:0), 
% 0.97/1.35  !  [4, 1]      (w:0, o:92, a:1, s:1, b:0), 
% 0.97/1.35  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.35  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.35  'tc_bool'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.97/1.35  'tc_fun'  [41, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 0.97/1.35  'c_HOL_Ouminus__class_Ouminus'  [42, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 0.97/1.35  hAPP  [44, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 0.97/1.35  'c_lessequals'  [46, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 0.97/1.35  'c_Set_Oimage'  [49, 4]      (w:1, o:176, a:1, s:1, b:0), 
% 0.97/1.35  'c_Set_Ovimage'  [50, 4]      (w:1, o:177, a:1, s:1, b:0), 
% 0.97/1.35  'c_Orderings_Otop__class_Otop'  [51, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.97/1.35  'c_Fun_Oinj__on'  [52, 4]      (w:1, o:178, a:1, s:1, b:0), 
% 0.97/1.35  'class_HOL_Oord'  [53, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.97/1.35  'c_HOL_Oord__class_Oless'  [56, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 0.97/1.35  'c_SetInterval_Oord__class_OlessThan'  [57, 2]      (w:1, o:155, a:1, s:1
% 0.97/1.35    , b:0), 
% 0.97/1.35  'c_in'  [58, 3]      (w:1, o:166, a:1, s:1, b:0), 
% 0.97/1.35  'c_Finite__Set_Ofinite'  [59, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 0.97/1.35  'c_HOL_Ominus__class_Ominus'  [60, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 0.97/1.35  'c_Fun_Osurj'  [61, 3]      (w:1, o:167, a:1, s:1, b:0), 
% 0.97/1.35  'c_Hoare__Mirabelle_Otriple__valid'  [64, 3]      (w:1, o:168, a:1, s:1, b:
% 0.97/1.35    0), 
% 0.97/1.35  'c_Suc'  [65, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 0.97/1.35  'c_Orderings_Obot__class_Obot'  [66, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 0.97/1.35  'c_Lattices_Olower__semilattice__class_Oinf'  [69, 1]      (w:1, o:103, a:1
% 0.97/1.35    , s:1, b:0), 
% 0.97/1.35  'c_Lattices_Oupper__semilattice__class_Osup'  [71, 3]      (w:1, o:169, a:1
% 0.97/1.35    , s:1, b:0), 
% 0.97/1.35  'c_Fun_Ofun__upd'  [79, 5]      (w:1, o:188, a:1, s:1, b:0), 
% 0.97/1.35  'class_Lattices_Olattice'  [82, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 0.97/1.35  'class_Lattices_Olower__semilattice'  [84, 1]      (w:1, o:105, a:1, s:1
% 0.97/1.35    , b:0), 
% 0.97/1.35  'class_OrderedGroup_Opordered__ab__group__add'  [85, 1]      (w:1, o:106
% 6.33/6.76    , a:1, s:1, b:0), 
% 6.33/6.76  'class_Lattices_Obounded__lattice'  [86, 1]      (w:1, o:107, a:1, s:1, b:0
% 6.33/6.76    ), 
% 6.33/6.76  'class_Lattices_Oboolean__algebra'  [87, 1]      (w:1, o:108, a:1, s:1, b:0
% 6.33/6.76    ), 
% 6.33/6.76  'class_Orderings_Opreorder'  [89, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 6.33/6.76  'class_Orderings_Oorder'  [91, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 6.33/6.76  'class_Orderings_Olinorder'  [92, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 6.33/6.76  hBOOL  [93, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 6.33/6.76  'class_OrderedGroup_Ogroup__add'  [94, 1]      (w:1, o:113, a:1, s:1, b:0)
% 6.33/6.76    , 
% 6.33/6.76  'class_Ring__and__Field_Oordered__idom'  [95, 1]      (w:1, o:114, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'c_Finite__Set_Ofold1'  [97, 3]      (w:1, o:170, a:1, s:1, b:0), 
% 6.33/6.76  'c_Finite__Set_Ofold__graph'  [99, 6]      (w:1, o:191, a:1, s:1, b:0), 
% 6.33/6.76  'c_COMBC'  [104, 6]      (w:1, o:192, a:1, s:1, b:0), 
% 6.33/6.76  'class_OrderedGroup_Olordered__ab__group__add'  [105, 1]      (w:1, o:115
% 6.33/6.76    , a:1, s:1, b:0), 
% 6.33/6.76  'class_OrderedGroup_Oab__group__add'  [106, 1]      (w:1, o:116, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'c_Finite__Set_Osetsum'  [107, 4]      (w:1, o:179, a:1, s:1, b:0), 
% 6.33/6.76  'c_OrderedGroup_Oab__semigroup__mult'  [109, 2]      (w:1, o:157, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'class_Finite__Set_Ofinite_Ofinite'  [110, 1]      (w:1, o:117, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'c_COMBB'  [111, 5]      (w:1, o:189, a:1, s:1, b:0), 
% 6.33/6.76  'class_Complete__Lattice_Ocomplete__lattice'  [112, 1]      (w:1, o:118, a:
% 6.33/6.76    1, s:1, b:0), 
% 6.33/6.76  'c_Complete__Lattice_OSup__class_OSup'  [113, 2]      (w:1, o:158, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'class_Orderings_Otop'  [115, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 6.33/6.76  'c_Set_Oinsert'  [118, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 6.33/6.76  'class_Orderings_Obot'  [119, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 6.33/6.76  'c_Nitpick_Ofold__graph_H'  [120, 6]      (w:1, o:193, a:1, s:1, b:0), 
% 6.33/6.76  'class_Lattices_Oupper__semilattice'  [121, 1]      (w:1, o:121, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'class_Lattices_Odistrib__lattice'  [122, 1]      (w:1, o:122, a:1, s:1, b:
% 6.33/6.76    0), 
% 6.33/6.76  'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'  [126, 4]      (w:1
% 6.33/6.76    , o:180, a:1, s:1, b:0), 
% 6.33/6.76  'c_Natural_Oevalc'  [127, 3]      (w:1, o:172, a:1, s:1, b:0), 
% 6.33/6.76  'c_Com_Ocom_OSemi'  [128, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 6.33/6.76  't_a'  [129, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 6.33/6.76  'c_Hoare__Mirabelle_Otriple_Otriple'  [130, 1]      (w:1, o:123, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'tc_Hoare__Mirabelle_Otriple'  [131, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 6.33/6.76  'c_Hoare__Mirabelle_Ohoare__derivs'  [132, 3]      (w:1, o:173, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq2__1'  [134, 2]      (w:1, o:162, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq2__2'  [135, 2]      (w:1, o:163, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq12__1'  [137, 4]      (w:1, o:181, a:1, s:
% 6.33/6.76    1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq12__3'  [138, 4]      (w:1, o:183, a:1, s:
% 6.33/6.76    1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq1__1'  [139, 2]      (w:1, o:160, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq1__2'  [140, 2]      (w:1, o:161, a:1, s:1
% 6.33/6.76    , b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'  [141, 4]      (w:1
% 6.33/6.76    , o:184, a:1, s:1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'  [142, 6]      (w:1
% 6.33/6.76    , o:194, a:1, s:1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xconseq12__2'  [143, 4]      (w:1, o:182, a:1, s:
% 6.33/6.76    1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'  [144, 4]      (w:1
% 6.33/6.76    , o:185, a:1, s:1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'  [145, 4]      (w:
% 6.33/6.76    1, o:186, a:1, s:1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'  [146, 6]      (w:
% 6.33/6.76    1, o:195, a:1, s:1, b:0), 
% 6.33/6.76  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'  [147, 4]      (w:
% 6.33/6.76    1, o:187, a:1, s:1, b:0), 
% 6.33/6.76  'class_Ring__and__Field_Oring'  [149, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 6.33/6.76    
% 6.33/6.76  'tc_Com_Ocom'  [150, 0]      (w:1, o:67, a:1, s:1, b:0), 
% 6.33/6.76  'c_Option_Othe'  [151, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 6.33/6.76  'c_Com_Obody'  [152, 0]      (w:1, o:68, a:1, s:1, b:0), 
% 6.33/6.76  'c_Com_Ocom_OBODY'  [154, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 6.33/6.76  'c_COMBS'  [155, 5]      (w:1, o:190, a:1, s:1, b:0), 
% 6.33/6.76  'c_COMBK'  [156, 3]      (w:1, o:174, a:1, s:1, b:0), 
% 6.33/6.76  'v_P'  [157, 0]      (w:1, o:71, a:1, s:1, b:0), 
% 22.40/22.78  'v_Q'  [158, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 22.40/22.78  'v_R'  [159, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 22.40/22.78  't_b'  [160, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 22.40/22.78  't_c'  [161, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 22.40/22.78  'tc_nat'  [162, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 22.40/22.78  'c_Com_Ocom_OSKIP'  [163, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 22.40/22.78  'tc_Com_Ostate'  [182, 0]      (w:1, o:83, a:1, s:1, b:0), 
% 22.40/22.78  'tc_Com_Opname'  [183, 0]      (w:1, o:84, a:1, s:1, b:0), 
% 22.40/22.78  'tc_Option_Ooption'  [185, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 22.40/22.78  'v_G'  [188, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 22.40/22.78  'v_Procs'  [189, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 22.40/22.78  'v_pn'  [190, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 22.40/22.78  'c_fequal'  [193, 3]      (w:1, o:175, a:1, s:1, b:0).
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Starting Search:
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    7400
% 22.40/22.78  Kept:         2068
% 22.40/22.78  Inuse:        158
% 22.40/22.78  Deleted:      3
% 22.40/22.78  Deletedinuse: 0
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    14470
% 22.40/22.78  Kept:         4068
% 22.40/22.78  Inuse:        245
% 22.40/22.78  Deleted:      4
% 22.40/22.78  Deletedinuse: 0
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    21769
% 22.40/22.78  Kept:         6072
% 22.40/22.78  Inuse:        259
% 22.40/22.78  Deleted:      4
% 22.40/22.78  Deletedinuse: 0
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    32662
% 22.40/22.78  Kept:         8098
% 22.40/22.78  Inuse:        322
% 22.40/22.78  Deleted:      4
% 22.40/22.78  Deletedinuse: 0
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    41927
% 22.40/22.78  Kept:         10102
% 22.40/22.78  Inuse:        389
% 22.40/22.78  Deleted:      7
% 22.40/22.78  Deletedinuse: 2
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    51531
% 22.40/22.78  Kept:         12107
% 22.40/22.78  Inuse:        453
% 22.40/22.78  Deleted:      10
% 22.40/22.78  Deletedinuse: 3
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    66059
% 22.40/22.78  Kept:         14760
% 22.40/22.78  Inuse:        524
% 22.40/22.78  Deleted:      13
% 22.40/22.78  Deletedinuse: 6
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    75392
% 22.40/22.78  Kept:         16765
% 22.40/22.78  Inuse:        578
% 22.40/22.78  Deleted:      13
% 22.40/22.78  Deletedinuse: 6
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    95351
% 22.40/22.78  Kept:         19663
% 22.40/22.78  Inuse:        648
% 22.40/22.78  Deleted:      14
% 22.40/22.78  Deletedinuse: 6
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying clauses:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    104304
% 22.40/22.78  Kept:         21723
% 22.40/22.78  Inuse:        705
% 22.40/22.78  Deleted:      574
% 22.40/22.78  Deletedinuse: 6
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    113055
% 22.40/22.78  Kept:         23817
% 22.40/22.78  Inuse:        752
% 22.40/22.78  Deleted:      609
% 22.40/22.78  Deletedinuse: 40
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    124518
% 22.40/22.78  Kept:         25864
% 22.40/22.78  Inuse:        815
% 22.40/22.78  Deleted:      621
% 22.40/22.78  Deletedinuse: 50
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    135984
% 22.40/22.78  Kept:         27956
% 22.40/22.78  Inuse:        880
% 22.40/22.78  Deleted:      623
% 22.40/22.78  Deletedinuse: 52
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  Resimplifying inuse:
% 22.40/22.78  Done
% 22.40/22.78  
% 22.40/22.78  
% 22.40/22.78  Intermediate Status:
% 22.40/22.78  Generated:    144979
% 22.40/22.78  Kept:         29965
% 22.40/22.79  Inuse:        905
% 22.40/22.79  Deleted:      623
% 22.40/22.79  Deletedinuse: 52
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    155372
% 22.40/22.79  Kept:         32048
% 22.40/22.79  Inuse:        925
% 22.40/22.79  Deleted:      623
% 22.40/22.79  Deletedinuse: 52
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    164120
% 22.40/22.79  Kept:         34061
% 22.40/22.79  Inuse:        940
% 22.40/22.79  Deleted:      623
% 22.40/22.79  Deletedinuse: 52
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    178245
% 22.40/22.79  Kept:         37183
% 22.40/22.79  Inuse:        950
% 22.40/22.79  Deleted:      623
% 22.40/22.79  Deletedinuse: 52
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    188793
% 22.40/22.79  Kept:         39328
% 22.40/22.79  Inuse:        1009
% 22.40/22.79  Deleted:      624
% 22.40/22.79  Deletedinuse: 52
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  Resimplifying clauses:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    205020
% 22.40/22.79  Kept:         42312
% 22.40/22.79  Inuse:        1044
% 22.40/22.79  Deleted:      1652
% 22.40/22.79  Deletedinuse: 54
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  Resimplifying inuse:
% 22.40/22.79  Done
% 22.40/22.79  
% 22.40/22.79  
% 22.40/22.79  Intermediate Status:
% 22.40/22.79  Generated:    216292
% 22.40/22.79  Kept:         44497
% 22.40/22.79  Inuse:        1079
% 77.55/77.97  Deleted:      1653
% 77.55/77.97  Deletedinuse: 55
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    229143
% 77.55/77.97  Kept:         46878
% 77.55/77.97  Inuse:        1089
% 77.55/77.97  Deleted:      1653
% 77.55/77.97  Deletedinuse: 55
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    238878
% 77.55/77.97  Kept:         48922
% 77.55/77.97  Inuse:        1129
% 77.55/77.97  Deleted:      1653
% 77.55/77.97  Deletedinuse: 55
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    254724
% 77.55/77.97  Kept:         50931
% 77.55/77.97  Inuse:        1155
% 77.55/77.97  Deleted:      1659
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    264126
% 77.55/77.97  Kept:         52990
% 77.55/77.97  Inuse:        1174
% 77.55/77.97  Deleted:      1659
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    275969
% 77.55/77.97  Kept:         55898
% 77.55/77.97  Inuse:        1189
% 77.55/77.97  Deleted:      1659
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    284996
% 77.55/77.97  Kept:         57940
% 77.55/77.97  Inuse:        1217
% 77.55/77.97  Deleted:      1659
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    294671
% 77.55/77.97  Kept:         60039
% 77.55/77.97  Inuse:        1249
% 77.55/77.97  Deleted:      1659
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying clauses:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    306556
% 77.55/77.97  Kept:         62077
% 77.55/77.97  Inuse:        1294
% 77.55/77.97  Deleted:      2012
% 77.55/77.97  Deletedinuse: 61
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    318405
% 77.55/77.97  Kept:         64107
% 77.55/77.97  Inuse:        1338
% 77.55/77.97  Deleted:      2019
% 77.55/77.97  Deletedinuse: 68
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    327240
% 77.55/77.97  Kept:         66165
% 77.55/77.97  Inuse:        1369
% 77.55/77.97  Deleted:      2019
% 77.55/77.97  Deletedinuse: 68
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    334239
% 77.55/77.97  Kept:         68206
% 77.55/77.97  Inuse:        1389
% 77.55/77.97  Deleted:      2020
% 77.55/77.97  Deletedinuse: 69
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    341020
% 77.55/77.97  Kept:         70374
% 77.55/77.97  Inuse:        1404
% 77.55/77.97  Deleted:      2020
% 77.55/77.97  Deletedinuse: 69
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    351370
% 77.55/77.97  Kept:         72456
% 77.55/77.97  Inuse:        1439
% 77.55/77.97  Deleted:      2020
% 77.55/77.97  Deletedinuse: 69
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    364726
% 77.55/77.97  Kept:         74457
% 77.55/77.97  Inuse:        1477
% 77.55/77.97  Deleted:      2020
% 77.55/77.97  Deletedinuse: 69
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    375923
% 77.55/77.97  Kept:         76673
% 77.55/77.97  Inuse:        1503
% 77.55/77.97  Deleted:      2022
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    384080
% 77.55/77.97  Kept:         78739
% 77.55/77.97  Inuse:        1521
% 77.55/77.97  Deleted:      2023
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying clauses:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    393661
% 77.55/77.97  Kept:         80857
% 77.55/77.97  Inuse:        1525
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    400860
% 77.55/77.97  Kept:         82857
% 77.55/77.97  Inuse:        1544
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    411768
% 77.55/77.97  Kept:         85484
% 77.55/77.97  Inuse:        1557
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    420149
% 77.55/77.97  Kept:         87507
% 77.55/77.97  Inuse:        1568
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    428471
% 77.55/77.97  Kept:         89513
% 77.55/77.97  Inuse:        1579
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    436868
% 77.55/77.97  Kept:         91993
% 77.55/77.97  Inuse:        1592
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    442895
% 77.55/77.97  Kept:         94047
% 77.55/77.97  Inuse:        1602
% 77.55/77.97  Deleted:      2323
% 77.55/77.97  Deletedinuse: 70
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  Resimplifying inuse:
% 77.55/77.97  Done
% 77.55/77.97  
% 77.55/77.97  
% 77.55/77.97  Intermediate Status:
% 77.55/77.97  Generated:    449836
% 77.55/77.97  Kept:         96406
% 77.55/77.97  Inuse:        1617
% 77.55/77.97  Deleted:      2323
% 221.82/222.26  Deletedinuse: 70
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    455567
% 221.82/222.26  Kept:         98411
% 221.82/222.26  Inuse:        1637
% 221.82/222.26  Deleted:      2323
% 221.82/222.26  Deletedinuse: 70
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying clauses:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    463915
% 221.82/222.26  Kept:         100717
% 221.82/222.26  Inuse:        1667
% 221.82/222.26  Deleted:      2476
% 221.82/222.26  Deletedinuse: 70
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    471431
% 221.82/222.26  Kept:         103064
% 221.82/222.26  Inuse:        1692
% 221.82/222.26  Deleted:      2476
% 221.82/222.26  Deletedinuse: 70
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    480556
% 221.82/222.26  Kept:         105408
% 221.82/222.26  Inuse:        1722
% 221.82/222.26  Deleted:      2477
% 221.82/222.26  Deletedinuse: 71
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    489753
% 221.82/222.26  Kept:         107419
% 221.82/222.26  Inuse:        1759
% 221.82/222.26  Deleted:      2478
% 221.82/222.26  Deletedinuse: 72
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    498885
% 221.82/222.26  Kept:         109466
% 221.82/222.26  Inuse:        1797
% 221.82/222.26  Deleted:      2479
% 221.82/222.26  Deletedinuse: 73
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    522023
% 221.82/222.26  Kept:         113972
% 221.82/222.26  Inuse:        1822
% 221.82/222.26  Deleted:      2482
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    545424
% 221.82/222.26  Kept:         119965
% 221.82/222.26  Inuse:        1837
% 221.82/222.26  Deleted:      2482
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    565627
% 221.82/222.26  Kept:         125128
% 221.82/222.26  Inuse:        1842
% 221.82/222.26  Deleted:      2482
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying clauses:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    590821
% 221.82/222.26  Kept:         129740
% 221.82/222.26  Inuse:        1862
% 221.82/222.26  Deleted:      2658
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    603588
% 221.82/222.26  Kept:         133041
% 221.82/222.26  Inuse:        1877
% 221.82/222.26  Deleted:      2658
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    616303
% 221.82/222.26  Kept:         135677
% 221.82/222.26  Inuse:        1892
% 221.82/222.26  Deleted:      2658
% 221.82/222.26  Deletedinuse: 76
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    627459
% 221.82/222.26  Kept:         138257
% 221.82/222.26  Inuse:        1917
% 221.82/222.26  Deleted:      2661
% 221.82/222.26  Deletedinuse: 79
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    640070
% 221.82/222.26  Kept:         141022
% 221.82/222.26  Inuse:        1932
% 221.82/222.26  Deleted:      2661
% 221.82/222.26  Deletedinuse: 79
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    647892
% 221.82/222.26  Kept:         143027
% 221.82/222.26  Inuse:        1959
% 221.82/222.26  Deleted:      2665
% 221.82/222.26  Deletedinuse: 83
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    667153
% 221.82/222.26  Kept:         145271
% 221.82/222.26  Inuse:        1972
% 221.82/222.26  Deleted:      2666
% 221.82/222.26  Deletedinuse: 84
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying clauses:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    699501
% 221.82/222.26  Kept:         147275
% 221.82/222.26  Inuse:        1978
% 221.82/222.26  Deleted:      3548
% 221.82/222.26  Deletedinuse: 84
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    771335
% 221.82/222.26  Kept:         156113
% 221.82/222.26  Inuse:        1981
% 221.82/222.26  Deleted:      3555
% 221.82/222.26  Deletedinuse: 85
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    828162
% 221.82/222.26  Kept:         163129
% 221.82/222.26  Inuse:        1984
% 221.82/222.26  Deleted:      3557
% 221.82/222.26  Deletedinuse: 85
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    844623
% 221.82/222.26  Kept:         166739
% 221.82/222.26  Inuse:        1989
% 221.82/222.26  Deleted:      3557
% 221.82/222.26  Deletedinuse: 85
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying clauses:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    857666
% 221.82/222.26  Kept:         168991
% 221.82/222.26  Inuse:        2024
% 221.82/222.26  Deleted:      3696
% 221.82/222.26  Deletedinuse: 86
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    877963
% 221.82/222.26  Kept:         173517
% 221.82/222.26  Inuse:        2034
% 221.82/222.26  Deleted:      3696
% 221.82/222.26  Deletedinuse: 86
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    895296
% 221.82/222.26  Kept:         175566
% 221.82/222.26  Inuse:        2059
% 221.82/222.26  Deleted:      3696
% 221.82/222.26  Deletedinuse: 86
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    928217
% 221.82/222.26  Kept:         179571
% 221.82/222.26  Inuse:        2094
% 221.82/222.26  Deleted:      3696
% 221.82/222.26  Deletedinuse: 86
% 221.82/222.26  
% 221.82/222.26  Resimplifying inuse:
% 221.82/222.26  Done
% 221.82/222.26  
% 221.82/222.26  
% 221.82/222.26  Intermediate Status:
% 221.82/222.26  Generated:    951965
% 221.82/222.26  Kept:       Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------