%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV843-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n021.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 16:28:47 EDT 2022

% Result   : Timeout 300.07s 300.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV843-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jun 14 19:34:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.06/1.46  *** allocated 10000 integers for termspace/termends
% 1.06/1.46  *** allocated 10000 integers for clauses
% 1.06/1.46  *** allocated 10000 integers for justifications
% 1.06/1.46  *** allocated 15000 integers for termspace/termends
% 1.06/1.46  *** allocated 22500 integers for termspace/termends
% 1.06/1.46  *** allocated 33750 integers for termspace/termends
% 1.06/1.46  Bliksem 1.12
% 1.06/1.46  
% 1.06/1.46  
% 1.06/1.46  Automatic Strategy Selection
% 1.06/1.46  
% 1.06/1.46  Clauses:
% 1.06/1.46  [
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( T, Z ), Y ) ) )
% 1.06/1.46    , ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.06/1.46     [ ~( =( hAPP( hAPP( X, Y ), Z ), Y ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( T, U, X, W ) ), hBOOL( hAPP( hAPP( T, Y
% 1.06/1.46     ), Z ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) )
% 1.06/1.46    , ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.06/1.46     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.06/1.46     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.06/1.46     ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W
% 1.06/1.46     ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.06/1.46     ) ), W ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.06/1.46     ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, 
% 1.06/1.46    Y ) ), =( 'c_Finite__Set_Osetsum'( U, hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.06/1.46    'c_Finite__Set_Osetsum'( U, Z, Y, X ) ), 'c_Finite__Set_Osetsum'( U, T, Y
% 1.06/1.46    , X ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.06/1.46    T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), T ), Y ) ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), X ) ],
% 1.06/1.46     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.06/1.46     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.06/1.46     ), =( Y, W ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), T ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.06/1.46    'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), T ), Y ) ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.06/1.46    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.06/1.46     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.06/1.46    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.06/1.46     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.06/1.46     ), 'c_Suc'( Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.06/1.46    , X ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.06/1.46    , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.06/1.46     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.06/1.46     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.06/1.46     ), 'c_Suc'( Y ) ) ) ) ],
% 1.06/1.46     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.06/1.46    , Y ), 'c_Suc'( X ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.06/1.46    'tc_nat' ), Y ), X ) ) ],
% 1.06/1.46     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.06/1.46    , X ), 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.06/1.46    'tc_nat' ), X ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z, 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y, 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.06/1.46     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.06/1.46    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ) ), Y ), Y ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ) ), Y ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.06/1.46    , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Y ) ) ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.06/1.46     [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    Z ) ) ), =( Y, Z ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), T ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), T ), Y ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), 
% 1.06/1.46    Z ) ), ~( 'c_OrderedGroup_Oab__semigroup__idem__mult'( X, T ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), Y ), Y ), ~( 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Z ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 1.06/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 1.06/1.46    Y, X ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =( 
% 1.06/1.46    Y, X ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Y ), Y ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.06/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.06/1.46     ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.06/1.46     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.06/1.46     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.06/1.46    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.06/1.46    , T ), U ), Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, 
% 1.06/1.46    X ) ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), 'c_Finite__Set_Osetsum'( 
% 1.06/1.46    Y, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.06/1.46    , 'tc_bool' ) ), T ), U ), Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z )
% 1.06/1.46     ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), X ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.06/1.46    Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), T ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ =( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), 'c_Finite__Set_Ofold'( 
% 1.06/1.46    'c_COMBB'( X, Y, Z, 'tc_fun'( Z, Z ), T ), T, Z ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.06/1.46     ), Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.06/1.46     ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ) ), W ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.06/1.46    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 1.06/1.46    'c_Finite__Set_Ocard'( X, Y ) ), 'c_Finite__Set_Ocard'( Z, Y ) ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.06/1.46    , X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.06/1.46    , Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.06/1.46    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), T ), Z ) ), U ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), Y ), Y ), ~( 'c_Lattices_Olower__semilattice'( 
% 1.06/1.46    Z, T, X, U ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.06/1.46    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olower__semilattice'( U, W, X
% 1.06/1.46    , V0 ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), 
% 1.06/1.46    Z ) ), ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.06/1.46    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olower__semilattice'( U, W, X
% 1.06/1.46    , V0 ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.06/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ), 
% 1.06/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.06/1.46     ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), 
% 1.06/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.06/1.46    , T ), U ), Z, X ) ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.06/1.46    , T ), U ), Z, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.06/1.46    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), 'c_Finite__Set_Osetsum'( Y, U, Z
% 1.06/1.46    , X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ), ~( 
% 1.06/1.46    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.06/1.46    , Z ) ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.06/1.46    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.06/1.46     ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.06/1.46    , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.06/1.46    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.06/1.46    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.06/1.46    X ), Y ), Z ) ), Z ), Y ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.06/1.46     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.06/1.46    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ), hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), 'c_Suc'( X ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.06/1.46    'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.06/1.46    , X, X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.06/1.46    'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.06/1.46    X ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.06/1.46    X ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.06/1.46     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z
% 1.06/1.46     ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.06/1.46    , X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.06/1.46     ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.06/1.46     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.06/1.46     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.06/1.46     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.06/1.46    X ), Y ) ), Z ) ) ],
% 1.06/1.46     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.06/1.46     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.06/1.46     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.06/1.46     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.06/1.46     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.06/1.46     [ 'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( Z, T, X, Y ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, T ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( W, X, Y, V0 )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, Z ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( W, X, Y, V0 )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.06/1.46    hAPP( T, U ), Z ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.06/1.46    hAPP( T, Z ), U ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.06/1.46    hAPP( T, Z ), U ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.06/1.46    hAPP( T, U ), Z ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, Z ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, Y, V0 )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, T ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, Y, V0 )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( 'c_COMBC'( 'c_lessequals'( X ), X, X, 
% 1.06/1.46    'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' )
% 1.06/1.46    , 'c_Orderings_Oord__class_Omax'( X ), X ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.06/1.46    Z ) ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.06/1.46    Z ) ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.06/1.46    X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ), 
% 1.06/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.06/1.46     ), Y ) ), Z ) ), Z ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ) ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.06/1.46     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.06/1.46    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.06/1.46     ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.06/1.46    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.06/1.46    , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.06/1.46     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.06/1.46    , X ), 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat'
% 1.06/1.46     ), Y ), X ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.06/1.46     ), Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.06/1.46    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X )
% 1.06/1.46    , Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.06/1.46     ), U ), 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), T, X, X )
% 1.06/1.46    , U ), Z, T, X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.06/1.46     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.06/1.46    , Y ) ],
% 1.06/1.46     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.06/1.46    , Y ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.06/1.46    , hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 1.06/1.46    U ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.06/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), =( X, Z ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), Y ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.06/1.46    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( X, U, Y, W ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( X, U, Y, W ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.06/1.46     [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 
% 1.06/1.46    Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.06/1.46    'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.06/1.46     ), Y ) ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.06/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.06/1.46    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.06/1.46    , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.06/1.46    'c_Lattices_Olower__semilattice'( 'c_COMBC'( 'c_lessequals'( X ), X, X, 
% 1.06/1.46    'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' )
% 1.06/1.46    , 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.06/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.06/1.46     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.06/1.46    , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.06/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.06/1.46     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.06/1.46    , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.06/1.46     ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.06/1.46     ), Z ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.06/1.46    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.06/1.46     ), T ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.06/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.06/1.46     ), Z ) ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 'c_Suc'( 
% 1.06/1.46    Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ), Y ), Z ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Y ) )
% 1.06/1.46     ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.06/1.46    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.06/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.06/1.46    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), Y ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.06/1.46    Y, Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( 
% 1.06/1.46    X ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), 
% 1.06/1.46    hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ) ],
% 1.06/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 1.06/1.46    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.06/1.46     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.06/1.46    =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.06/1.46     ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 
% 1.06/1.46    'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.06/1.46    Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( T, U, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( 
% 1.06/1.46    Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.06/1.46    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.06/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.06/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.06/1.46     ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.06/1.46     ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.06/1.46     ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, Z )
% 1.06/1.46    , T ), 'c_Set_Oinsert'( U, W, Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, Z )
% 1.06/1.46    , T ), W ) ) ), hBOOL( 'c_in'( U, W, Z ) ), ~( 'c_Finite__Set_Ofinite'( W
% 1.06/1.46    , Z ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.06/1.46    'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP( 
% 1.06/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 
% 1.06/1.46    'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( 'c_in'( Z, T, U ) ), 
% 1.06/1.46    ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, Z
% 1.06/1.46     ), T ), 'c_Set_Oinsert'( U, W, Z ) ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, U ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, Z
% 1.06/1.46     ), T ), W ) ) ), hBOOL( 'c_in'( U, W, Z ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.06/1.46    W, Z ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 1.06/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.06/1.46     ), 'c_Finite__Set_Ocard'( Y, X ) ), 'c_Finite__Set_Ocard'( Z, X ) ) ) )
% 1.06/1.46    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.06/1.46    Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.06/1.46     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, 
% 1.06/1.46    'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 
% 1.06/1.46    'c_Finite__Set_Osetsum'( X, Z, Y, 'tc_nat' ) ), 'c_Finite__Set_Osetsum'( 
% 1.06/1.46    X, T, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.06/1.46    Y, 'tc_bool' ) ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Finite__Set_Ocard'( Y, X ) )
% 1.06/1.46    , 'c_Finite__Set_Ocard'( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ), X ) ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), Z ), X ) ) ],
% 1.06/1.46     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.06/1.46    , hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), T ) ), ~( 
% 1.06/1.46    'c_Finite__Set_Ofinite'( T, Y ) ), ~( 
% 1.06/1.46    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), 
% 1.06/1.46    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.06/1.46    'c_HOL_Otimes__class_Otimes'( X ), X, X ), Y ), Z ) ), ~( 
% 1.06/1.46    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.06/1.46     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.06/1.46    'c_Complete__Lattice_OInf__class_OInf'( Y, X ), hAPP( hAPP( 
% 1.06/1.46    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.06/1.46    , X, X ), 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ), ~( 
% 1.06/1.46    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.06/1.46     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 
% 1.06/1.46    =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.06/1.46    , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.06/1.46    'tc_bool' ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.06/1.46     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 1.06/1.46    hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W, 
% 1.06/1.46    U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), Z ) ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.06/1.46    'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.06/1.46     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) )
% 1.06/1.46    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ), Y ), T ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.06/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.06/1.46    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.06/1.46    'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.06/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.06/1.46     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( 
% 1.06/1.46    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.06/1.46    Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.06/1.46    T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ],
% 1.06/1.46     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 1.06/1.46    'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.06/1.46    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.06/1.46    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.06/1.46     ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.06/1.46    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.06/1.46    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 1.06/1.46    , U, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ) ) ]
% 1.06/1.46    ,
% 1.06/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X ) ), ~( hBOOL( 
% 1.06/1.46    hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.06/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.06/1.46    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ), 
% 1.06/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), ~( hBOOL( hAPP( 
% 1.06/1.46    hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.06/1.46    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.06/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( 
% 1.06/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.06/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.06/1.46     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 1.06/1.46    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 
% 1.06/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ) ) )
% 1.06/1.46     ) ],
% 1.06/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.10/1.46    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 1.10/1.46    'c_Set_Oinsert'( Z, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.10/1.46    , 'tc_bool' ) ), T ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), X ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X
% 1.10/1.46     ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X, X ) ) ],
% 1.10/1.46     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 1.10/1.46    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.46    'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, 
% 1.10/1.46    Y, 'tc_nat' ) ), hAPP( X, T ) ) ), ~( hBOOL( 'c_in'( T, Z, Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.10/1.46    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y, 
% 1.10/1.46    'c_Set_Oinsert'( Z, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.10/1.46    , 'tc_bool' ) ), T ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), X ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X
% 1.10/1.46     ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z, T, U, X, X ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ), 
% 1.10/1.46    ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'( 
% 1.10/1.46    Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.10/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), 
% 1.10/1.46    'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) ), ~( hBOOL( hAPP( 
% 1.10/1.46    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.10/1.46    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.10/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.10/1.46     ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.10/1.46     ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X ) )
% 1.10/1.46     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), T ) ) )
% 1.10/1.46     ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.46    ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.46    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( 'c_in'( T, 
% 1.10/1.46    Y, X ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.46     ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.46     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ), 
% 1.10/1.46    ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.46     [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.46    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~( 
% 1.10/1.46    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.46    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), 
% 1.10/1.46    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), X, X ), Y ), Z ) ), hBOOL( 'c_in'( Y, 
% 1.10/1.46    Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), 
% 1.10/1.46    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X, X ), Y ), Z ) ), hBOOL( 'c_in'( Y, Z
% 1.10/1.46    , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    'c_Set_Oimage'( Y, hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.46    , T ), U ), Z, X ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , 'c_Set_Oimage'( Y, T, Z, X ) ), 'c_Set_Oimage'( Y, U, Z, X ) ) ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 
% 1.10/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ), 
% 1.10/1.46    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.10/1.46    , 'tc_bool' ) ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.10/1.46     ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.46    ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.10/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.46    'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ) ), hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Z ) ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.10/1.46     ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.46    ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.10/1.46    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.46    'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.10/1.46    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y ) ), 
% 1.10/1.46    hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Z )
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 1.10/1.46    , 'tc_bool' ) ), Y ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ) ) ],
% 1.10/1.46     [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), 
% 1.10/1.46    'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 1.10/1.46     ],
% 1.10/1.46     [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), 
% 1.10/1.46    'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X, Z, 
% 1.10/1.46    T ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.10/1.46    , Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ) ), Z ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Y ), Z ) ), Y ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.10/1.46     ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.46     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.10/1.46     ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~( 
% 1.10/1.46    'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), X, Z ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.10/1.46     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.10/1.46    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ), 
% 1.10/1.46    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.10/1.46    'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.10/1.46    'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Finite__Set_Ofold1'( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.10/1.46    'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Finite__Set_Ofold1'( 
% 1.10/1.46    'c_Orderings_Oord__class_Omin'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), Y ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.10/1.46     ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.10/1.46     ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL( 
% 1.10/1.46    hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.10/1.46     [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 1.10/1.46     ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.10/1.46    Y ) ) ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ), 
% 1.10/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X
% 1.10/1.46     ) ) ) ],
% 1.10/1.46     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y )
% 1.10/1.46     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), 
% 1.10/1.46    'c_Suc'( X ) ) ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( 
% 1.10/1.46    Y ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.46    , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.46     ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.46    , Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.46    , T ), X ), Y ) ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.46    , X ), T ), Y ) ) ) ],
% 1.10/1.46     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.10/1.46     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.46    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.10/1.46    Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.10/1.46    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.46    X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 
% 1.10/1.46    'tc_bool' ) ), Z ) ) ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    X ), Y ), Z ) ), Z ), Y ) ],
% 1.10/1.46     [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.46    hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ), 
% 1.10/1.46    Y ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ), Y ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ), Y ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    X ), Y ) ), Y ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.46    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.10/1.46     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.46    , Z ), T ), U, Y ), hAPP( hAPP( 
% 1.10/1.46    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.46    , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.10/1.46     ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ), 
% 1.10/1.46    ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.10/1.46     ), 'c_Suc'( Y ) ) ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.10/1.46     ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.46    hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.10/1.46    , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.10/1.47    , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.10/1.47     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.10/1.47     ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    X ), Y ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    X ), Y ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.10/1.47    , Z ) ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.10/1.47    , Z ) ), Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 1.10/1.47    Z, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X, 
% 1.10/1.47    Z, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Z ), Y ) ), hBOOL( 'c_in'( X, Z, Y ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), Z ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y
% 1.10/1.47     ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , T ), Y ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , Y ), T ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Finite__Set_Ofold'( Y, Z, Z ), T
% 1.10/1.47     ), U ) ), hAPP( hAPP( Y, W ), T ) ) ), ~( hBOOL( 'c_in'( W, U, Z ) ) ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( U, Z ) ), ~( 'c_Lattices_Olower__semilattice'( 
% 1.10/1.47    X, V0, Y, Z ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), 
% 1.10/1.47    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y, 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, U
% 1.10/1.47    , X, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.10/1.47    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X
% 1.10/1.47    , X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 1.10/1.47    , X, U, Y, W ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), U ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ],
% 1.10/1.47     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ) ) ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.10/1.47     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.10/1.47    , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.10/1.47    , X, X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.10/1.47    , X, X ), Y ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), 'c_Set_Oinsert'( 
% 1.10/1.47    T, U, Y ) ), hAPP( hAPP( X, T ), hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y
% 1.10/1.47    , Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ), ~( 
% 1.10/1.47    'c_Lattices_Olower__semilattice'( W, V0, X, Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 1.10/1.47     ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'( 
% 1.10/1.47    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), 
% 1.10/1.47    Z ), 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T ) ), T, X ) ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, 
% 1.10/1.47    X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 1.10/1.47    'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.10/1.47    , X ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( 
% 1.10/1.47    Z, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( 
% 1.10/1.47    Z, Y, X ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.10/1.47    , X, X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.10/1.47    , X, X ), Y ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL( 
% 1.10/1.47    'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 1.10/1.47    , T, U ) ) ],
% 1.10/1.47     [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ), 
% 1.10/1.47    ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    X, Y ) ), 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ), 'c_Finite__Set_Ocard'( X, Z ) ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) )
% 1.10/1.47     ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    X, Y ) ), 'c_Finite__Set_Ocard'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( X, hAPP( 'c_Finite__Set_Ofold1'( Y, Z ), T ) ), U )
% 1.10/1.47     ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) )
% 1.10/1.47    , ~( 'c_Lattices_Olower__semilattice'( X, W, Y, Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    'c_Set_Oimage'( X, Y, Z, T ), T ) ), 'c_Finite__Set_Ocard'( Y, Z ) ) ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y, U ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) )
% 1.10/1.47     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 1.10/1.47    , W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y, U ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y, U ) ) ],
% 1.10/1.47     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.10/1.47    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ), X ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( hBOOL( 'c_in'( Z
% 1.10/1.47    , Y, X ) ) ), hBOOL( 'c_in'( 
% 1.10/1.47    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y, 
% 1.10/1.47    Z, X ), Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( hBOOL( 'c_in'( Z
% 1.10/1.47    , Y, X ) ) ), hBOOL( 'c_in'( 
% 1.10/1.47    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y, 
% 1.10/1.47    Z, X ), Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP( 
% 1.10/1.47    hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 1.10/1.47     ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.10/1.47    , X, X ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , Y ), U ), Z, T ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , U ), Y ), Z, T ) ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), U, Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Z ), Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.10/1.47     ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP( 
% 1.10/1.47    Z, 'v_x' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ) ],
% 1.10/1.47     [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 1.10/1.47    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_Fun_Oinj__on'( X
% 1.10/1.47    , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.10/1.47     ), Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.10/1.47    Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.10/1.47    Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), X ) ) ), 'c_Set_Oinsert'( T, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), X ) )
% 1.10/1.47    , 'c_Finite__Set_Ocard'( Y, X ) ) ), ~( hBOOL( 'c_in'( T, Y, X ) ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), X ) ), X ) ), 'c_Finite__Set_Ocard'( Y, X ) )
% 1.10/1.47     ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ), X ) ), 'c_Finite__Set_Ocard'( Y, X ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( 
% 1.10/1.47    Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 1.10/1.47    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), 
% 1.10/1.47    T ), 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z ) ), Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.10/1.47     ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( U, T, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( T, X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), hAPP( hAPP( T, hAPP( 'c_Finite__Set_Ofold1'( T, X ), Y ) )
% 1.10/1.47    , hAPP( 'c_Finite__Set_Ofold1'( T, X ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.10/1.47    , hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), T ) ), hBOOL( 'c_in'( 
% 1.10/1.47    Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), U ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T ) ), T ), W, T, T ), hBOOL( 'c_in'( Z, U, T ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Y, U, T ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, U, W
% 1.10/1.47    , T, T ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.10/1.47     ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , T ), U ), Z, X ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.10/1.47     ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 
% 1.10/1.47    'c_Fun_Oinj__on'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , T ), U ), Z, X ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    X, Y ) ), 'c_Finite__Set_Ocard'( Z, T ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    Z, T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' )
% 1.10/1.47     ), 'c_Set_Oimage'( U, X, Y, T ) ), Z ) ) ), ~( 'c_Fun_Oinj__on'( U, X, Y
% 1.10/1.47    , T ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 1.10/1.47    'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    Z, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.10/1.47    , Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Finite__Set_Ocard'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.10/1.47    , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ), X ) ), 'c_Finite__Set_Ocard'( Y, X ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.47    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Z ) ) )
% 1.10/1.47    , ~( 'c_Finite__Set_Ofinite'( Y, X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , X ), Z ) ) ), hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z
% 1.10/1.47    , X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X )
% 1.10/1.47    , Z ) ) ), hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.10/1.47     ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T ) ), T, U ), U ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, 
% 1.10/1.47    Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.47    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( 'c_in'( T, Y, X ) ) )
% 1.10/1.47    , =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), T ) ) ) ), =( T, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 1.10/1.47    , 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hBOOL( 'c_in'( U, T, Z ) ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'c_COMBK'( hAPP( 
% 1.10/1.47    'c_COMBC'( 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 
% 1.10/1.47    'tc_Com_Ostate', 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y
% 1.10/1.47    , T, Z ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), Z ), 
% 1.10/1.47    'c_COMBK'( hAPP( T, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) )
% 1.10/1.47    , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ) ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ) ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.10/1.47    , hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.10/1.47    , hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), 
% 1.10/1.47    'c_Set_Oinsert'( W, V0, T ) ), hAPP( hAPP( X, hAPP( Y, W ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), V0 ) ) ), hBOOL( 'c_in'( 
% 1.10/1.47    W, V0, T ) ), ~( 'c_Finite__Set_Ofinite'( V0, T ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( hBOOL( 'c_in'( Z
% 1.10/1.47    , Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.10/1.47    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y, 
% 1.10/1.47    Z, X ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( hBOOL( 'c_in'( Z
% 1.10/1.47    , Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 1.10/1.47    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y, 
% 1.10/1.47    Z, X ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), T ), Z, X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, T, Z, X ) ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z, X ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ) ), hAPP( hAPP( X, hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ) )
% 1.10/1.47    , hAPP( 'c_Finite__Set_Ofold1'( X, Y ), T ) ) ), =( T, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, Y ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y
% 1.10/1.47     ) ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X
% 1.10/1.47     ), Z ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Finite__Set_Ocard'( Y, X ) )
% 1.10/1.47    , 'c_Finite__Set_Ocard'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, 
% 1.10/1.47    X ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.10/1.47    , hAPP( hAPP( X, Z ), hAPP( 'c_Finite__Set_Ofold1'( X, Y ), T ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, Y ) ), =( T, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y, Z ) ), hBOOL( 'c_in'( hAPP( X, T ), 'c_Set_Oimage'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), Z ) )
% 1.10/1.47    , =( hAPP( X, T ), hAPP( X, 
% 1.10/1.47    'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z, 
% 1.10/1.47    Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 
% 1.10/1.47    'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, Z, T, U )
% 1.10/1.47    , 'c_Set_Oimage'( Z, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( Z, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ), 
% 1.10/1.47    X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ), 
% 1.10/1.47    hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 1.10/1.47    , Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Set_Oimage'( Y, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) )
% 1.10/1.47     ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T, Z ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.10/1.47     ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z, T ) ), =( Y, 
% 1.10/1.47    'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( X, Y ), X, T, Z )
% 1.10/1.47     ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( X, Y ), hAPP( 'c_Finite__Set_Ofold1'( W, U ), T ) ) )
% 1.10/1.47     ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~( 'c_Lattices_Olower__semilattice'( 
% 1.10/1.47    X, V0, W, U ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U ), W, Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X
% 1.10/1.47     ), W ) ) ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), 
% 1.10/1.47    ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 1.10/1.47     ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.10/1.47    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), Y ) ), Z ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.10/1.47    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 1.10/1.47    'tc_bool' ) ), W ) ), U, W, V0 ) ), ~( hBOOL( 'c_in'( T, Z, W ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), hBOOL( 
% 1.10/1.47    'c_in'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y, 
% 1.10/1.47    'tc_nat' ) ), hBOOL( 'c_in'( T, Z, Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 1.10/1.47     ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, 
% 1.10/1.47    Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), 
% 1.10/1.47    Z ), 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 
% 1.10/1.47    'tc_bool' ) ), W ) ), U, W, V0 ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), 
% 1.10/1.47    'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.10/1.47    Y, 'tc_bool' ) ), Y ) ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'( 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Ovimage'( Y, Z, X, T ) ), U ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oimage'( Y, U, X
% 1.10/1.47    , T ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.10/1.47     ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.10/1.47    hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.10/1.47    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, 
% 1.10/1.47    U, W ) ) ],
% 1.10/1.47     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.10/1.47    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 1.10/1.47    =( Y, Z ) ],
% 1.10/1.47     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.10/1.47    , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), 
% 1.10/1.47    =( Y, Z ) ],
% 1.10/1.47     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.10/1.47     ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 1.10/1.47    , U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( X, Z, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 
% 1.10/1.47    Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( X, Z, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 1.10/1.47    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, 
% 1.10/1.47    'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X
% 1.10/1.47     ), Z ) ) ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Y
% 1.10/1.47     ) ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    Y, X ) ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 
% 1.10/1.47    'c_in'( X, T, Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, 
% 1.10/1.47    Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 
% 1.10/1.47    Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.10/1.47    , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.10/1.47    , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.10/1.47    , X ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ), 
% 1.10/1.47    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.10/1.47     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 1.10/1.47    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ) ), Y ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ) ), Y ), Y ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.10/1.47     ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y, Z ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), 
% 1.10/1.47    'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( X, Y, Z, Z ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, Y, Z, Z ) ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), T ), X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Z ), T ), X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 
% 1.10/1.47    'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ), Y, U ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.10/1.47     [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.10/1.47    , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ), Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.10/1.47     ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y, X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), X ) )
% 1.10/1.47    , hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), X ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, X ) ), hBOOL( 'c_in'( Z, Y, X ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.10/1.47    , hAPP( hAPP( X, Z ), hAPP( 'c_Finite__Set_Ofold1'( X, Y ), T ) ) ), 
% 1.10/1.47    hBOOL( 'c_in'( Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.10/1.47     ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'( 
% 1.10/1.47    hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), T, U )
% 1.10/1.47    , U ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 1.10/1.47    'c_Set_Oinsert'( Y, T, Z ), Z, U ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), 
% 1.10/1.47    'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'( 
% 1.10/1.47    'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), X ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.10/1.47    , 'c_Set_Oinsert'( T, Z, X ) ), X ) ) ],
% 1.10/1.47     [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.10/1.47    , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.10/1.47    , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ), T ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ), 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T
% 1.10/1.47    , 'tc_bool' ) ), Z ), U ), T, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X ), Y
% 1.10/1.47     ) ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.10/1.47    , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X, T ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.10/1.47     ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T, X ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z, 
% 1.10/1.47    Y, U ) ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), U, Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Ovimage'( 
% 1.10/1.47    X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, 'c_Set_Ovimage'( Y, Z, T, X ), T, X ) ), Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z, T ) ) ],
% 1.10/1.47     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.10/1.47    , T ) ],
% 1.10/1.47     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.10/1.47    , Z ) ],
% 1.10/1.47     [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( X ) ), Y ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 1.10/1.47    ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.10/1.47    , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), 
% 1.10/1.47    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.10/1.47    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.10/1.47    , U ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.10/1.47    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.10/1.47    , U ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.10/1.47    , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =( 
% 1.10/1.47    Y, Z ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ), 
% 1.10/1.47    ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.10/1.47    'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~( 
% 1.10/1.47    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.10/1.47    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Y
% 1.10/1.47     ) ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), 'c_Complete__Lattice_OInf__class_OInf'( Y, X )
% 1.10/1.47     ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), 
% 1.10/1.47    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( U, Z, T, Y ) ), X ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( W, X, Y, T ) ), Z ) ) ), ~( 'c_Fun_Oinj__on'( W, X, Y, T
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.10/1.47    , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.10/1.47    , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.10/1.47     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.10/1.47    'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.10/1.47     ) ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.10/1.47     ) ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.10/1.47     ) ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.10/1.47     ) ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.10/1.47     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.10/1.47     ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ), Y ), T ) ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    X ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Y ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.10/1.47    Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.10/1.47    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( 
% 1.10/1.47    X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) ) ), ~( hBOOL( hAPP( 
% 1.10/1.47    hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), W ) ) ), ~( 
% 1.10/1.47    'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y, 
% 1.10/1.47    X, T, U ), Z ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y, 
% 1.10/1.47    hAPP( X, U ) ) ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.10/1.47    'c_in'( X, T, Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 1.10/1.47    , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), Z ), Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.10/1.47     ), U ), T ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.10/1.47    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.10/1.47    Z ), Y ) ) ],
% 1.10/1.47     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ), 
% 1.10/1.47    ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Z ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), 
% 1.10/1.47    'c_Set_Oinsert'( X, Z, Y ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.10/1.47    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.10/1.47    , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ), Z ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.10/1.47    'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.10/1.47     ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( U, W ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.10/1.47     ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.10/1.47    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, 
% 1.10/1.47    V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( U, W ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.10/1.47    , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.10/1.47     ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U )
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( Y, 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.10/1.47    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( T, 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.10/1.47    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.10/1.47    , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( 
% 1.10/1.47    hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z )
% 1.10/1.47    , W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( Y, 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 1.10/1.47    , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 1.10/1.47    , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 1.10/1.47    , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( T, 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 1.10/1.47    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.10/1.47     ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W )
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 1.10/1.47     ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 1.10/1.47    , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), 
% 1.10/1.47    ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 1.10/1.47     ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 1.10/1.47    , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 1.10/1.47     ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Y, X ) ), =( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( hAPP( 
% 1.10/1.47    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Y, X ) ), =( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.10/1.47     [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 1.10/1.47    'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), Z
% 1.10/1.47     ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X, 
% 1.10/1.47    'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.10/1.47    'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ), 
% 1.10/1.47    T ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~( 
% 1.10/1.47    'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.10/1.47     ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ), 
% 1.10/1.47    hBOOL( 'c_in'( Y, Z, X ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ), 
% 1.10/1.47    ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y, 
% 1.10/1.47    'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 1.10/1.47    'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP( 
% 1.10/1.47    hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.10/1.47    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP'
% 1.10/1.47     ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( 
% 1.10/1.47    hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( 
% 1.10/1.47    T, U ) ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z, 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y, 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 1.10/1.47    X, Z, T ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'( 
% 1.10/1.47    X, Z, T ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), 
% 1.10/1.47    'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 
% 1.10/1.47    'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.10/1.47    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 1.10/1.47    U ), W ), V0 ) ) ), =( T, V0 ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.10/1.47    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 1.10/1.47    U ), W ), V0 ) ) ), =( Z, W ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.10/1.47    , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), 
% 1.10/1.47    U ), W ), V0 ) ) ), =( Y, U ) ],
% 1.10/1.47     [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.10/1.47     ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.10/1.47    't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, 
% 1.10/1.47    'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 1.10/1.47     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.10/1.47     ) ), Y ) ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.10/1.47    'tc_bool' ) ), X ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~( 
% 1.10/1.47    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z, 
% 1.10/1.47    X, T ), Y ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP( 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.10/1.47    , W ) ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 
% 1.10/1.47    'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.10/1.47    'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.10/1.47    'tc_bool' ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.10/1.47    , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.10/1.47     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.10/1.47    'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T, 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), 
% 1.10/1.47    'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ), 
% 1.10/1.47    hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 1.10/1.47     [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.10/1.47    'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.10/1.47     ) ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 1.10/1.47    Y, X ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 1.10/1.47    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), 
% 1.10/1.47    'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.10/1.47     [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~( 
% 1.10/1.47    hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.10/1.47     [ 'c_Finite__Set_Ofinite'( 'v_F', 't_a' ) ],
% 1.10/1.47     [ ~( hBOOL( 'c_in'( 'v_x', 'v_F', 't_a' ) ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P_H'
% 1.10/1.47    , 'v_x' ) ), hAPP( 'v_c0', 'v_x' ) ), hAPP( 'v_Q_H', 'v_x' ) ), 
% 1.10/1.47    'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'v_P_H', 'tc_fun'( 't_b', 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 
% 1.10/1.47    'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_c0', 't_a', 
% 1.10/1.47    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 1.10/1.47    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 'v_Q_H', 't_a'
% 1.10/1.47    , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'v_F', 't_a', 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ) ), 't_b' ) ],
% 1.10/1.47     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P', 
% 1.10/1.47    'v_x' ) ), hAPP( 'v_c0', 'v_x' ) ), hAPP( 'v_Q', 'v_x' ) ), 
% 1.10/1.47    'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 
% 1.10/1.47    'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'v_P', 'tc_fun'( 't_b', 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 
% 1.10/1.47    'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_c0', 't_a', 
% 1.10/1.47    'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 1.10/1.47    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 'v_Q', 't_a', 
% 1.10/1.47    'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'v_F', 't_a', 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ) ), 't_b' ) ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P', X
% 1.10/1.47     ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q', X ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 1.10/1.47    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP( 
% 1.10/1.47    hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P_H'
% 1.10/1.47    , X ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q_H', X ) ), 
% 1.10/1.47    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oimage'( 'c_COMBS'( 
% 1.10/1.47    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 
% 1.10/1.47    'v_P', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 1.10/1.47    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.10/1.47     ), 't_a' ), 'v_c0', 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ) ) ), 'v_Q', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 1.10/1.47    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'v_F', 't_a', 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~( 
% 1.10/1.47    'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oimage'( 'c_COMBS'( 
% 1.10/1.47    'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 
% 1.10/1.47    'v_P_H', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 
% 1.10/1.47    'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.10/1.47     ), 't_a' ), 'v_c0', 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 
% 1.10/1.47    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 
% 1.10/1.47    't_b' ) ) ), 'v_Q_H', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 
% 1.10/1.47    'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 'v_F', 't_a', 
% 1.10/1.47    'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ) ],
% 1.10/1.47     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Olattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Olattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.10/1.47     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 1.10/1.47    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.10/1.47     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Orderings_Opreorder'( Y ) ) ],
% 1.10/1.47     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Olattice'( Y ) ) ],
% 1.10/1.47     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Orderings_Oorder'( Y ) ) ],
% 1.10/1.47     [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'( 
% 1.10/1.47    Y ) ) ],
% 1.10/1.47     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 1.10/1.47    Y ) ) ],
% 1.10/1.47     [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 1.10/1.47     ],
% 1.10/1.47     [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.10/1.47     ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.10/1.47     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.10/1.47    , W ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 1.10/1.47    U ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.10/1.47  ] .
% 1.10/1.47  
% 1.10/1.47  
% 1.10/1.47  percentage equality = 0.256848, percentage horn = 0.865071
% 1.10/1.47  This is a problem with some equality
% 1.10/1.47  
% 1.10/1.47  
% 1.10/1.47  
% 1.10/1.47  Options Used:
% 1.10/1.47  
% 1.10/1.47  useres =            1
% 1.10/1.47  useparamod =        1
% 1.10/1.47  useeqrefl =         1
% 1.10/1.47  useeqfact =         1
% 1.10/1.47  usefactor =         1
% 1.10/1.47  usesimpsplitting =  0
% 1.10/1.47  usesimpdemod =      5
% 1.10/1.47  usesimpres =        3
% 1.10/1.47  
% 1.10/1.47  resimpinuse      =  1000
% 1.10/1.47  resimpclauses =     20000
% 1.10/1.47  substype =          eqrewr
% 1.10/1.47  backwardsubs =      1
% 1.10/1.47  selectoldest =      5
% 1.10/1.47  
% 1.10/1.47  litorderings [0] =  split
% 1.10/1.47  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.10/1.47  
% 1.10/1.47  termordering =      kbo
% 1.10/1.47  
% 1.10/1.47  litapriori =        0
% 1.10/1.47  termapriori =       1
% 1.10/1.47  litaposteriori =    0
% 1.10/1.47  termaposteriori =   0
% 1.10/1.47  demodaposteriori =  0
% 1.10/1.47  ordereqreflfact =   0
% 1.10/1.47  
% 1.10/1.47  litselect =         negord
% 1.10/1.47  
% 1.10/1.47  maxweight =         15
% 1.10/1.47  maxdepth =          30000
% 1.10/1.47  maxlength =         115
% 1.10/1.47  maxnrvars =         195
% 1.10/1.47  excuselevel =       1
% 1.10/1.47  increasemaxweight = 1
% 1.10/1.47  
% 1.10/1.47  maxselected =       10000000
% 1.10/1.47  maxnrclauses =      10000000
% 1.10/1.47  
% 1.10/1.47  showgenerated =    0
% 1.10/1.47  showkept =         0
% 1.10/1.47  showselected =     0
% 1.10/1.47  showdeleted =      0
% 1.10/1.47  showresimp =       1
% 1.10/1.47  showstatus =       2000
% 1.10/1.47  
% 1.10/1.47  prologoutput =     1
% 1.10/1.47  nrgoals =          5000000
% 1.10/1.47  totalproof =       1
% 1.10/1.47  
% 1.10/1.47  Symbols occurring in the translation:
% 1.10/1.47  
% 1.10/1.47  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.10/1.47  .  [1, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 1.10/1.47  !  [4, 1]      (w:0, o:96, a:1, s:1, b:0), 
% 1.10/1.47  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.10/1.47  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.10/1.47  'class_Orderings_Olinorder'  [40, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 1.10/1.47  'c_lessequals'  [41, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 1.10/1.47  'c_Orderings_Oord__class_Omin'  [42, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 1.10/1.47  hAPP  [44, 2]      (w:1, o:186, a:1, s:1, b:0), 
% 1.10/1.47  hBOOL  [47, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 1.10/1.47  'c_Lattices_Olower__semilattice'  [52, 4]      (w:1, o:210, a:1, s:1, b:0)
% 1.10/1.47    , 
% 1.10/1.47  'c_Suc'  [53, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 1.10/1.47  'class_Ring__and__Field_Opordered__ring'  [56, 1]      (w:1, o:108, a:1, s:
% 1.10/1.47    1, b:0), 
% 1.10/1.47  'c_HOL_Oord__class_Oless'  [57, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 1.10/1.47  'c_HOL_Oplus__class_Oplus'  [58, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 1.10/1.47  'c_HOL_Otimes__class_Otimes'  [59, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 1.10/1.47  'c_HOL_Ominus__class_Ominus'  [63, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 1.10/1.47  'class_OrderedGroup_Ocomm__monoid__add'  [65, 1]      (w:1, o:113, a:1, s:1
% 1.10/1.47    , b:0), 
% 1.10/1.47  'tc_bool'  [66, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 1.10/1.47  'tc_fun'  [67, 2]      (w:1, o:187, a:1, s:1, b:0), 
% 1.10/1.47  'c_Lattices_Olower__semilattice__class_Oinf'  [68, 1]      (w:1, o:114, a:1
% 1.10/1.47    , s:1, b:0), 
% 1.10/1.47  'c_Orderings_Obot__class_Obot'  [71, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 1.10/1.47  'c_Finite__Set_Ofinite'  [72, 2]      (w:1, o:188, a:1, s:1, b:0), 
% 1.10/1.47  'c_Lattices_Oupper__semilattice__class_Osup'  [74, 1]      (w:1, o:116, a:1
% 1.10/1.47    , s:1, b:0), 
% 1.10/1.47  'c_Finite__Set_Osetsum'  [75, 4]      (w:1, o:211, a:1, s:1, b:0), 
% 1.10/1.47  'c_Orderings_Oord__class_Omax'  [77, 1]      (w:1, o:117, a:1, s:1, b:0), 
% 1.10/1.47  'c_OrderedGroup_Oab__semigroup__idem__mult'  [78, 2]      (w:1, o:190, a:1
% 1.10/1.47    , s:1, b:0), 
% 1.10/1.47  'c_Fun_Ofun__upd'  [80, 5]      (w:1, o:229, a:1, s:1, b:0), 
% 1.10/1.47  'class_Lattices_Olattice'  [81, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 1.10/1.47  'class_Lattices_Olower__semilattice'  [82, 1]      (w:1, o:119, a:1, s:1
% 1.10/1.47    , b:0), 
% 1.10/1.47  'class_Lattices_Oupper__semilattice'  [84, 1]      (w:1, o:120, a:1, s:1
% 1.10/1.47    , b:0), 
% 1.10/1.47  'class_Ring__and__Field_Oidom'  [85, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.10/1.47  'class_Int_Onumber__ring'  [86, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 1.10/1.47  'tc_nat'  [88, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 1.10/1.47  'class_OrderedGroup_Opordered__ab__group__add'  [90, 1]      (w:1, o:126
% 1.10/1.47    , a:1, s:1, b:0), 
% 1.10/1.47  'c_HOL_Ouminus__class_Ouminus'  [91, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 1.10/1.47  'class_Lattices_Obounded__lattice'  [92, 1]      (w:1, o:128, a:1, s:1, b:0
% 1.10/1.47    ), 
% 1.10/1.47  'c_Orderings_Otop__class_Otop'  [93, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 1.66/2.07  'class_Ring__and__Field_Ocomm__semiring__1'  [94, 1]      (w:1, o:130, a:1
% 1.66/2.07    , s:1, b:0), 
% 1.66/2.07  'class_Orderings_Oorder'  [102, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 1.66/2.07  'c_SetInterval_Oord__class_OatLeastLessThan'  [104, 3]      (w:1, o:200, a:
% 1.66/2.07    1, s:1, b:0), 
% 1.66/2.07  'c_SetInterval_Oord__class_OatLeastAtMost'  [106, 3]      (w:1, o:201, a:1
% 1.66/2.07    , s:1, b:0), 
% 1.66/2.07  'class_Orderings_Opreorder'  [107, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 1.66/2.07  'class_HOL_Oord'  [108, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 1.66/2.07  'class_Lattices_Oboolean__algebra'  [109, 1]      (w:1, o:133, a:1, s:1, b:
% 1.66/2.07    0), 
% 1.66/2.07  'class_OrderedGroup_Ogroup__add'  [110, 1]      (w:1, o:134, a:1, s:1, b:0)
% 1.66/2.07    , 
% 1.66/2.07  'class_Ring__and__Field_Oordered__idom'  [112, 1]      (w:1, o:106, a:1, s:
% 1.66/2.07    1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [114, 1]      
% 1.66/2.07    (w:1, o:135, a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Oab__group__add'  [115, 1]      (w:1, o:136, a:1, s:1
% 1.66/2.07    , b:0), 
% 1.66/2.07  'c_Finite__Set_Ofold__image'  [116, 4]      (w:1, o:212, a:1, s:1, b:0), 
% 1.66/2.07  'c_COMBB'  [117, 5]      (w:1, o:230, a:1, s:1, b:0), 
% 1.66/2.07  'c_Finite__Set_Ofold'  [118, 3]      (w:1, o:202, a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Olordered__ab__group__add'  [119, 1]      (w:1, o:137
% 1.66/2.07    , a:1, s:1, b:0), 
% 1.66/2.07  'c_Finite__Set_Ocard'  [120, 2]      (w:1, o:191, a:1, s:1, b:0), 
% 1.66/2.07  'class_Ring__and__Field_Oring'  [121, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 1.66/2.07    
% 1.66/2.07  'c_SetInterval_Oord__class_OgreaterThanAtMost'  [122, 3]      (w:1, o:203
% 1.66/2.07    , a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Opordered__ab__semigroup__add'  [123, 1]      (w:1, o:
% 1.66/2.07    139, a:1, s:1, b:0), 
% 1.66/2.07  'class_Lattices_Odistrib__lattice'  [124, 1]      (w:1, o:140, a:1, s:1, b:
% 1.66/2.07    0), 
% 1.66/2.07  'class_OrderedGroup_Olordered__ab__group__add__join'  [125, 1]      (w:1
% 1.66/2.07    , o:141, a:1, s:1, b:0), 
% 1.66/2.07  'class_Complete__Lattice_Ocomplete__lattice'  [126, 1]      (w:1, o:142, a:
% 1.66/2.07    1, s:1, b:0), 
% 1.66/2.07  'c_Complete__Lattice_OInf__class_OInf'  [127, 2]      (w:1, o:192, a:1, s:1
% 1.66/2.07    , b:0), 
% 1.66/2.07  'class_OrderedGroup_Oab__semigroup__add'  [128, 1]      (w:1, o:143, a:1
% 1.66/2.07    , s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [130, 1]      
% 1.66/2.07    (w:1, o:144, a:1, s:1, b:0), 
% 1.66/2.07  'c_COMBC'  [132, 4]      (w:1, o:213, a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Oab__semigroup__idem__mult'  [133, 1]      (w:1, o:145
% 1.66/2.07    , a:1, s:1, b:0), 
% 1.66/2.07  'class_HOL_Ouminus'  [134, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.66/2.07  't_a'  [135, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 1.66/2.07  'v_x'  [136, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 1.66/2.07  'class_Ring__and__Field_Osemiring__0'  [138, 1]      (w:1, o:146, a:1, s:1
% 1.66/2.07    , b:0), 
% 1.66/2.07  'class_OrderedGroup_Olordered__ab__group__add__meet'  [145, 1]      (w:1
% 1.66/2.07    , o:147, a:1, s:1, b:0), 
% 1.66/2.07  'class_Ring__and__Field_Osemiring'  [146, 1]      (w:1, o:148, a:1, s:1, b:
% 1.66/2.07    0), 
% 1.66/2.07  'c_Set_Ovimage'  [147, 4]      (w:1, o:214, a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [148, 1]      (w:1, o:149
% 1.66/2.07    , a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Ocancel__semigroup__add'  [149, 1]      (w:1, o:150, a:
% 1.66/2.07    1, s:1, b:0), 
% 1.66/2.07  'c_in'  [150, 3]      (w:1, o:204, a:1, s:1, b:0), 
% 1.66/2.07  'class_OrderedGroup_Oab__semigroup__mult'  [151, 1]      (w:1, o:151, a:1
% 1.66/2.07    , s:1, b:0), 
% 1.66/2.07  'class_Ring__and__Field_Ocomm__semiring'  [152, 1]      (w:1, o:152, a:1
% 1.66/2.07    , s:1, b:0), 
% 1.66/2.07  'c_Set_Oinsert'  [153, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 1.66/2.07  'c_Finite__Set_Ofold1'  [155, 2]      (w:1, o:193, a:1, s:1, b:0), 
% 1.66/2.07  'c_Finite__Set_Ofold__graph'  [156, 6]      (w:1, o:233, a:1, s:1, b:0), 
% 1.66/2.07  'c_Set_Oimage'  [157, 4]      (w:1, o:215, a:1, s:1, b:0), 
% 1.66/2.07  'c_Fun_Othe__inv__into'  [158, 4]      (w:1, o:216, a:1, s:1, b:0), 
% 1.66/2.07  'c_Fun_Oinj__on'  [159, 4]      (w:1, o:217, a:1, s:1, b:0), 
% 1.66/2.07  'c_Finite__Set_Olinorder__class_OMax'  [161, 1]      (w:1, o:153, a:1, s:1
% 1.66/2.07    , b:0), 
% 1.66/2.07  'c_Finite__Set_Olinorder__class_OMin'  [162, 1]      (w:1, o:154, a:1, s:1
% 1.66/2.07    , b:0), 
% 1.66/2.07  'class_Ring__and__Field_Oordered__ring__strict'  [163, 1]      (w:1, o:107
% 1.66/2.07    , a:1, s:1, b:0), 
% 1.66/2.07  'c_Nitpick_Ofold__graph_H'  [165, 6]      (w:1, o:234, a:1, s:1, b:0), 
% 1.66/2.07  'c_COMBS'  [166, 5]      (w:1, o:231, a:1, s:1, b:0), 
% 1.66/2.07  'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'  [167
% 1.66/2.07    , 3]      (w:1, o:206, a:1, s:1, b:0), 
% 13.98/14.39  'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'  [168
% 13.98/14.39    , 3]      (w:1, o:207, a:1, s:1, b:0), 
% 13.98/14.39  'c_OrderedGroup_Oab__semigroup__mult'  [169, 2]      (w:1, o:194, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'v_P'  [170, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 13.98/14.39  't_b'  [171, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 13.98/14.39  't_c'  [172, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 13.98/14.39  'v_Q'  [173, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 13.98/14.39  'v_R'  [174, 0]      (w:1, o:79, a:1, s:1, b:0), 
% 13.98/14.39  'class_HOL_Ominus'  [175, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 13.98/14.39  'c_Hoare__Mirabelle_Otriple_Otriple'  [176, 1]      (w:1, o:155, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'tc_Hoare__Mirabelle_Otriple'  [177, 1]      (w:1, o:156, a:1, s:1, b:0), 
% 13.98/14.39  'c_Hoare__Mirabelle_Ohoare__derivs'  [178, 3]      (w:1, o:208, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'tc_Com_Ostate'  [179, 0]      (w:1, o:80, a:1, s:1, b:0), 
% 13.98/14.39  'c_fequal'  [180, 1]      (w:1, o:157, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xescape__2'  [181, 4]      (w:1, o:219, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'c_COMBK'  [182, 3]      (w:1, o:209, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xescape__1'  [183, 4]      (w:1, o:218, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'  [184, 5]      (w:1, o:232
% 13.98/14.39    , a:1, s:1, b:0), 
% 13.98/14.39  'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'  [185, 4]      
% 13.98/14.39    (w:1, o:220, a:1, s:1, b:0), 
% 13.98/14.39  'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'  [186, 4]      (w:1, o:221
% 13.98/14.39    , a:1, s:1, b:0), 
% 13.98/14.39  'class_Finite__Set_Ofinite_Ofinite'  [188, 1]      (w:1, o:158, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'class_Orderings_Obot'  [189, 1]      (w:1, o:159, a:1, s:1, b:0), 
% 13.98/14.39  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [190, 2]      (w:1, o:189, a:1
% 13.98/14.39    , s:1, b:0), 
% 13.98/14.39  'c_Com_Ocom_OSemi'  [196, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 13.98/14.39  'class_Orderings_Otop'  [199, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 13.98/14.39  'c_Com_Ocom_OSKIP'  [200, 0]      (w:1, o:83, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'  [202, 6]      (w:1
% 13.98/14.39    , o:235, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'  [203, 4]      (w:1
% 13.98/14.39    , o:223, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq12__3'  [206, 4]      (w:1, o:226, a:1, s:
% 13.98/14.39    1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq12__2'  [207, 4]      (w:1, o:225, a:1, s:
% 13.98/14.39    1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'  [208, 6]      (w:
% 13.98/14.39    1, o:236, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'  [209, 4]      (w:
% 13.98/14.39    1, o:228, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'  [210, 4]      (w:
% 13.98/14.39    1, o:227, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'  [211, 4]      (w:1
% 13.98/14.39    , o:222, a:1, s:1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq2__1'  [212, 2]      (w:1, o:198, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq2__2'  [213, 2]      (w:1, o:199, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq12__1'  [214, 4]      (w:1, o:224, a:1, s:
% 13.98/14.39    1, b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq1__1'  [215, 2]      (w:1, o:196, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'v_sko__Hoare__Mirabelle__Xconseq1__2'  [216, 2]      (w:1, o:197, a:1, s:1
% 13.98/14.39    , b:0), 
% 13.98/14.39  'v_F'  [226, 0]      (w:1, o:88, a:1, s:1, b:0), 
% 13.98/14.39  'v_G'  [227, 0]      (w:1, o:89, a:1, s:1, b:0), 
% 13.98/14.39  'v_P_H'  [228, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 13.98/14.39  'v_c0'  [229, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 13.98/14.39  'v_Q_H'  [230, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 13.98/14.39  'tc_Com_Ocom'  [231, 0]      (w:1, o:91, a:1, s:1, b:0).
% 13.98/14.39  
% 13.98/14.39  
% 13.98/14.39  Starting Search:
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  
% 13.98/14.39  Intermediate Status:
% 13.98/14.39  Generated:    5086
% 13.98/14.39  Kept:         2007
% 13.98/14.39  Inuse:        126
% 13.98/14.39  Deleted:      1
% 13.98/14.39  Deletedinuse: 0
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  
% 13.98/14.39  Intermediate Status:
% 13.98/14.39  Generated:    14465
% 13.98/14.39  Kept:         4258
% 13.98/14.39  Inuse:        170
% 13.98/14.39  Deleted:      2
% 13.98/14.39  Deletedinuse: 1
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  
% 13.98/14.39  Intermediate Status:
% 13.98/14.39  Generated:    26177
% 13.98/14.39  Kept:         6614
% 13.98/14.39  Inuse:        284
% 13.98/14.39  Deleted:      8
% 13.98/14.39  Deletedinuse: 1
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 13.98/14.39  Done
% 13.98/14.39  
% 13.98/14.39  
% 13.98/14.39  Intermediate Status:
% 13.98/14.39  Generated:    41795
% 13.98/14.39  Kept:         9041
% 13.98/14.39  Inuse:        322
% 13.98/14.39  Deleted:      10
% 13.98/14.39  Deletedinuse: 1
% 13.98/14.39  
% 13.98/14.39  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    53405
% 46.77/47.18  Kept:         11049
% 46.77/47.18  Inuse:        357
% 46.77/47.18  Deleted:      16
% 46.77/47.18  Deletedinuse: 7
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    71914
% 46.77/47.18  Kept:         14773
% 46.77/47.18  Inuse:        400
% 46.77/47.18  Deleted:      30
% 46.77/47.18  Deletedinuse: 9
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    81120
% 46.77/47.18  Kept:         17173
% 46.77/47.18  Inuse:        434
% 46.77/47.18  Deleted:      37
% 46.77/47.18  Deletedinuse: 10
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    90455
% 46.77/47.18  Kept:         19414
% 46.77/47.18  Inuse:        484
% 46.77/47.18  Deleted:      37
% 46.77/47.18  Deletedinuse: 10
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying clauses:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    99757
% 46.77/47.18  Kept:         21502
% 46.77/47.18  Inuse:        504
% 46.77/47.18  Deleted:      244
% 46.77/47.18  Deletedinuse: 10
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    111868
% 46.77/47.18  Kept:         23591
% 46.77/47.18  Inuse:        544
% 46.77/47.18  Deleted:      244
% 46.77/47.18  Deletedinuse: 10
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    124131
% 46.77/47.18  Kept:         25721
% 46.77/47.18  Inuse:        594
% 46.77/47.18  Deleted:      244
% 46.77/47.18  Deletedinuse: 10
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    134680
% 46.77/47.18  Kept:         27867
% 46.77/47.18  Inuse:        636
% 46.77/47.18  Deleted:      249
% 46.77/47.18  Deletedinuse: 12
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    144568
% 46.77/47.18  Kept:         29942
% 46.77/47.18  Inuse:        679
% 46.77/47.18  Deleted:      252
% 46.77/47.18  Deletedinuse: 13
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    153921
% 46.77/47.18  Kept:         31943
% 46.77/47.18  Inuse:        721
% 46.77/47.18  Deleted:      254
% 46.77/47.18  Deletedinuse: 15
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    165934
% 46.77/47.18  Kept:         34000
% 46.77/47.18  Inuse:        754
% 46.77/47.18  Deleted:      254
% 46.77/47.18  Deletedinuse: 15
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    173783
% 46.77/47.18  Kept:         36102
% 46.77/47.18  Inuse:        778
% 46.77/47.18  Deleted:      286
% 46.77/47.18  Deletedinuse: 46
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    181215
% 46.77/47.18  Kept:         38148
% 46.77/47.18  Inuse:        812
% 46.77/47.18  Deleted:      287
% 46.77/47.18  Deletedinuse: 46
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    187836
% 46.77/47.18  Kept:         40543
% 46.77/47.18  Inuse:        832
% 46.77/47.18  Deleted:      287
% 46.77/47.18  Deletedinuse: 46
% 46.77/47.18  
% 46.77/47.18  Resimplifying clauses:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    196489
% 46.77/47.18  Kept:         42633
% 46.77/47.18  Inuse:        871
% 46.77/47.18  Deleted:      1033
% 46.77/47.18  Deletedinuse: 59
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    206977
% 46.77/47.18  Kept:         44662
% 46.77/47.18  Inuse:        910
% 46.77/47.18  Deleted:      1035
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    216144
% 46.77/47.18  Kept:         46684
% 46.77/47.18  Inuse:        941
% 46.77/47.18  Deleted:      1039
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    224850
% 46.77/47.18  Kept:         48719
% 46.77/47.18  Inuse:        971
% 46.77/47.18  Deleted:      1039
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    234527
% 46.77/47.18  Kept:         50754
% 46.77/47.18  Inuse:        1002
% 46.77/47.18  Deleted:      1042
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    242518
% 46.77/47.18  Kept:         52775
% 46.77/47.18  Inuse:        1031
% 46.77/47.18  Deleted:      1042
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    254281
% 46.77/47.18  Kept:         56056
% 46.77/47.18  Inuse:        1033
% 46.77/47.18  Deleted:      1042
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    270933
% 46.77/47.18  Kept:         60866
% 46.77/47.18  Inuse:        1058
% 46.77/47.18  Deleted:      1042
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying clauses:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    288726
% 46.77/47.18  Kept:         65598
% 46.77/47.18  Inuse:        1078
% 46.77/47.18  Deleted:      1294
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 46.77/47.18  Generated:    301678
% 46.77/47.18  Kept:         69147
% 46.77/47.18  Inuse:        1083
% 46.77/47.18  Deleted:      1294
% 46.77/47.18  Deletedinuse: 60
% 46.77/47.18  
% 46.77/47.18  Resimplifying inuse:
% 46.77/47.18  Done
% 46.77/47.18  
% 46.77/47.18  
% 46.77/47.18  Intermediate Status:
% 119.52/119.96  Generated:    314620
% 119.52/119.96  Kept:         72675
% 119.52/119.96  Inuse:        1088
% 119.52/119.96  Deleted:      1294
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    323678
% 119.52/119.96  Kept:         74699
% 119.52/119.96  Inuse:        1118
% 119.52/119.96  Deleted:      1294
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    334610
% 119.52/119.96  Kept:         76771
% 119.52/119.96  Inuse:        1153
% 119.52/119.96  Deleted:      1294
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    345876
% 119.52/119.96  Kept:         78940
% 119.52/119.96  Inuse:        1183
% 119.52/119.96  Deleted:      1294
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    364054
% 119.52/119.96  Kept:         81027
% 119.52/119.96  Inuse:        1188
% 119.52/119.96  Deleted:      1294
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying clauses:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    373493
% 119.52/119.96  Kept:         83079
% 119.52/119.96  Inuse:        1213
% 119.52/119.96  Deleted:      1453
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    382533
% 119.52/119.96  Kept:         85192
% 119.52/119.96  Inuse:        1238
% 119.52/119.96  Deleted:      1453
% 119.52/119.96  Deletedinuse: 60
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    390902
% 119.52/119.96  Kept:         87334
% 119.52/119.96  Inuse:        1266
% 119.52/119.96  Deleted:      1456
% 119.52/119.96  Deletedinuse: 61
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    403327
% 119.52/119.96  Kept:         89673
% 119.52/119.96  Inuse:        1300
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    413287
% 119.52/119.96  Kept:         91987
% 119.52/119.96  Inuse:        1325
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    427922
% 119.52/119.96  Kept:         95562
% 119.52/119.96  Inuse:        1345
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    447699
% 119.52/119.96  Kept:         98372
% 119.52/119.96  Inuse:        1360
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    463691
% 119.52/119.96  Kept:         100506
% 119.52/119.96  Inuse:        1365
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    479769
% 119.52/119.96  Kept:         102646
% 119.52/119.96  Inuse:        1370
% 119.52/119.96  Deleted:      1464
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying clauses:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    496196
% 119.52/119.96  Kept:         104852
% 119.52/119.96  Inuse:        1375
% 119.52/119.96  Deleted:      1795
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    505845
% 119.52/119.96  Kept:         106855
% 119.52/119.96  Inuse:        1404
% 119.52/119.96  Deleted:      1795
% 119.52/119.96  Deletedinuse: 63
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    516763
% 119.52/119.96  Kept:         108879
% 119.52/119.96  Inuse:        1428
% 119.52/119.96  Deleted:      1796
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    529757
% 119.52/119.96  Kept:         110968
% 119.52/119.96  Inuse:        1455
% 119.52/119.96  Deleted:      1796
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    545172
% 119.52/119.96  Kept:         114346
% 119.52/119.96  Inuse:        1475
% 119.52/119.96  Deleted:      1796
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    570704
% 119.52/119.96  Kept:         119922
% 119.52/119.96  Inuse:        1490
% 119.52/119.96  Deleted:      1796
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    584811
% 119.52/119.96  Kept:         122044
% 119.52/119.96  Inuse:        1520
% 119.52/119.96  Deleted:      1796
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying clauses:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    602153
% 119.52/119.96  Kept:         124215
% 119.52/119.96  Inuse:        1565
% 119.52/119.96  Deleted:      2009
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    612507
% 119.52/119.96  Kept:         126545
% 119.52/119.96  Inuse:        1585
% 119.52/119.96  Deleted:      2009
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    622452
% 119.52/119.96  Kept:         129206
% 119.52/119.96  Inuse:        1590
% 119.52/119.96  Deleted:      2009
% 119.52/119.96  Deletedinuse: 64
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  Resimplifying inuse:
% 119.52/119.96  Done
% 119.52/119.96  
% 119.52/119.96  
% 119.52/119.96  Intermediate Status:
% 119.52/119.96  Generated:    632553
% 119.52/119.96  Kept:         131253
% 119.52/119.96  Inuse:        1610
% 119.52/119.96  Deleted:      2009
% 119.52/119.96  Deletedinuse: 64
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    644585
% 246.63/247.10  Kept:         133358
% 246.63/247.10  Inuse:        1640
% 246.63/247.10  Deleted:      2009
% 246.63/247.10  Deletedinuse: 64
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    656919
% 246.63/247.10  Kept:         135750
% 246.63/247.10  Inuse:        1665
% 246.63/247.10  Deleted:      2009
% 246.63/247.10  Deletedinuse: 64
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    666918
% 246.63/247.10  Kept:         138106
% 246.63/247.10  Inuse:        1685
% 246.63/247.10  Deleted:      2009
% 246.63/247.10  Deletedinuse: 64
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    674094
% 246.63/247.10  Kept:         140222
% 246.63/247.10  Inuse:        1700
% 246.63/247.10  Deleted:      2010
% 246.63/247.10  Deletedinuse: 65
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    690145
% 246.63/247.10  Kept:         144287
% 246.63/247.10  Inuse:        1711
% 246.63/247.10  Deleted:      2014
% 246.63/247.10  Deletedinuse: 65
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying clauses:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    698211
% 246.63/247.10  Kept:         146439
% 246.63/247.10  Inuse:        1726
% 246.63/247.10  Deleted:      2262
% 246.63/247.10  Deletedinuse: 66
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    707958
% 246.63/247.10  Kept:         148469
% 246.63/247.10  Inuse:        1752
% 246.63/247.10  Deleted:      2266
% 246.63/247.10  Deletedinuse: 66
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    717962
% 246.63/247.10  Kept:         150674
% 246.63/247.10  Inuse:        1778
% 246.63/247.10  Deleted:      2271
% 246.63/247.10  Deletedinuse: 67
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    727880
% 246.63/247.10  Kept:         152680
% 246.63/247.10  Inuse:        1802
% 246.63/247.10  Deleted:      2271
% 246.63/247.10  Deletedinuse: 67
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    774545
% 246.63/247.10  Kept:         158572
% 246.63/247.10  Inuse:        1813
% 246.63/247.10  Deleted:      2276
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    819716
% 246.63/247.10  Kept:         164122
% 246.63/247.10  Inuse:        1818
% 246.63/247.10  Deleted:      2276
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying clauses:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    845191
% 246.63/247.10  Kept:         169522
% 246.63/247.10  Inuse:        1824
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    858760
% 246.63/247.10  Kept:         171615
% 246.63/247.10  Inuse:        1858
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    871345
% 246.63/247.10  Kept:         173826
% 246.63/247.10  Inuse:        1888
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    892171
% 246.63/247.10  Kept:         178278
% 246.63/247.10  Inuse:        1903
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    905300
% 246.63/247.10  Kept:         180469
% 246.63/247.10  Inuse:        1928
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    930953
% 246.63/247.10  Kept:         185766
% 246.63/247.10  Inuse:        1932
% 246.63/247.10  Deleted:      2744
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying clauses:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    940716
% 246.63/247.10  Kept:         188018
% 246.63/247.10  Inuse:        1953
% 246.63/247.10  Deleted:      2932
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    951900
% 246.63/247.10  Kept:         190117
% 246.63/247.10  Inuse:        1978
% 246.63/247.10  Deleted:      2932
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    967960
% 246.63/247.10  Kept:         192897
% 246.63/247.10  Inuse:        2008
% 246.63/247.10  Deleted:      2932
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    979273
% 246.63/247.10  Kept:         195305
% 246.63/247.10  Inuse:        2028
% 246.63/247.10  Deleted:      2932
% 246.63/247.10  Deletedinuse: 72
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    989357
% 246.63/247.10  Kept:         197750
% 246.63/247.10  Inuse:        2047
% 246.63/247.10  Deleted:      2934
% 246.63/247.10  Deletedinuse: 73
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    1000452
% 246.63/247.10  Kept:         199874
% 246.63/247.10  Inuse:        2071
% 246.63/247.10  Deleted:      2937
% 246.63/247.10  Deletedinuse: 75
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  
% 246.63/247.10  Intermediate Status:
% 246.63/247.10  Generated:    1010564
% 246.63/247.10  Kept:         201989
% 246.63/247.10  Inuse:        2090
% 246.63/247.10  Deleted:      2939
% 246.63/247.10  Deletedinuse: 76
% 246.63/247.10  
% 246.63/247.10  Resimplifying inuse:
% 246.63/247.10  Done
% 246.63/247.10  
% 246.63/247.10  ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------