%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV871-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:28:56 EDT 2022

% Result   : Timeout 300.09s 300.53s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV871-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun 14 17:47:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.09/1.51  *** allocated 10000 integers for termspace/termends
% 1.09/1.51  *** allocated 10000 integers for clauses
% 1.09/1.51  *** allocated 10000 integers for justifications
% 1.09/1.51  *** allocated 15000 integers for termspace/termends
% 1.09/1.51  *** allocated 22500 integers for termspace/termends
% 1.09/1.51  *** allocated 33750 integers for termspace/termends
% 1.09/1.51  Bliksem 1.12
% 1.09/1.51  
% 1.09/1.51  
% 1.09/1.51  Automatic Strategy Selection
% 1.09/1.51  
% 1.09/1.51  Clauses:
% 1.09/1.51  [
% 1.09/1.51     [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, Z, T, 'tc_Option_Ooption'( 
% 1.09/1.51    U ) ), 'c_Fun_Ofun__upd'( W, Y, Z, T, 'tc_Option_Ooption'( U ) ), T, U )
% 1.09/1.51    , ~( 'c_Map_Omap__le'( X, W, T, U ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) )
% 1.09/1.51    , ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.09/1.51     [ ~( =( hAPP( hAPP( X, Y ), Z ), Y ) ), ~( 
% 1.09/1.51    'c_Lattices_Olower__semilattice'( T, U, X, W ) ), hBOOL( hAPP( hAPP( T, Y
% 1.09/1.51     ), Z ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( T, Z ), Y ) ) )
% 1.09/1.51    , ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.09/1.51     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.09/1.51    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), X ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.09/1.51    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.09/1.51    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.09/1.51    , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.09/1.51    Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), T ), Z ) ) ) ) ],
% 1.09/1.51     [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ), 
% 1.09/1.51    X ), Y ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.51     [ =( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), 'c_Finite__Set_Ofold'( 
% 1.09/1.51    'c_COMBB'( X, Y, Z, 'tc_fun'( Z, Z ), T ), T, Z ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Z ), T ), U ), 'c_The'( 
% 1.09/1.51    'c_Finite__Set_Ofold__graph'( X, T, U, Y, Z ), Z ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y
% 1.09/1.51    , Z, X ) ), T ) ), U ) ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Z ), T ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.09/1.51     ) ), Z ) ), T ) ), W ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.09/1.51    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 1.09/1.51     ) ), Z ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( Y, U ), 
% 1.09/1.51    =( hAPP( 'c_Fun_Ofun__upd'( X, U, 'c_Option_Ooption_OSome'( W, T ), V0, 
% 1.09/1.51    'tc_Option_Ooption'( T ) ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T )
% 1.09/1.51    , U, 'tc_Option_Ooption'( T ) ), W ), 'c_Option_Ooption_OSome'( V0, T ) )
% 1.09/1.51     ), =( hAPP( X, W ), 'c_Option_Ooption_OSome'( V0, T ) ), =( Z, V0 ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T )
% 1.09/1.51    , U, 'tc_Option_Ooption'( T ) ), W ), 'c_Option_Ooption_OSome'( V0, T ) )
% 1.09/1.51     ), =( hAPP( X, W ), 'c_Option_Ooption_OSome'( V0, T ) ), =( W, Y ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U, 
% 1.09/1.51    'tc_Option_Ooption'( T ) ), 'c_COMBK'( 'c_Option_Ooption_ONone'( T ), 
% 1.09/1.51    'tc_Option_Ooption'( T ), U ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y, 
% 1.09/1.51    'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_in'( Y, 
% 1.09/1.51    'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Z ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.09/1.51    , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.09/1.51     ) ), Z ) ), T ), W ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 1.09/1.51     ) ), Z ) ), W ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 1.09/1.51     ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), Y ), Y ), ~( 'c_Lattices_Olower__semilattice'( 
% 1.09/1.51    Z, T, X, U ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.09/1.51    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olower__semilattice'( U, W, X
% 1.09/1.51    , V0 ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.09/1.51    'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), 
% 1.09/1.51    Z ) ), ~( 'c_Lattices_Olower__semilattice'( T, U, X, W ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.09/1.51    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olower__semilattice'( U, W, X
% 1.09/1.51    , V0 ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.09/1.51    , T ), U ), Z, X ) ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.09/1.51    , T ), U ), Z, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.09/1.51    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), 'c_Finite__Set_Osetsum'( Y, U, Z
% 1.09/1.51    , X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ), ~( 
% 1.09/1.51    'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y )
% 1.09/1.51    , Z ) ), Z ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), 
% 1.09/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =( 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 
% 1.09/1.51    X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.09/1.51    Z, T, X ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ) ) ), ~( hBOOL( 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ), W ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ) ), W ) ), ~( hBOOL( 
% 1.09/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.09/1.51    , Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.09/1.51     ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, 
% 1.09/1.51    Y ) ), =( 'c_Finite__Set_Osetsum'( U, hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.09/1.51    , Z ), T ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.09/1.51    'c_Finite__Set_Osetsum'( U, Z, Y, X ) ), 'c_Finite__Set_Osetsum'( U, T, Y
% 1.09/1.51    , X ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.09/1.51    , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.09/1.51    T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), T ), Y ) ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.09/1.51    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), X ) ],
% 1.09/1.51     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.09/1.51     ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.09/1.51     ), =( Y, W ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X )
% 1.09/1.51    , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) )
% 1.09/1.51     ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), T ), Z ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.09/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.09/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.09/1.51    'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), T ), Y ) ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.09/1.51    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.09/1.51     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.09/1.51    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.09/1.51    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.09/1.51     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.09/1.51     [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 1.09/1.51    , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 
% 1.09/1.51    'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 1.09/1.51    'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.09/1.51    , X, X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.09/1.51    , X, X ), Y ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.09/1.51     [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.09/1.51    , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 1.09/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.09/1.51    , T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.09/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.09/1.51     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( 
% 1.09/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( 
% 1.09/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.09/1.51    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.09/1.51     ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.09/1.51    'tc_bool' ) ), Y ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), T ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.09/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), T ), Y ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), 
% 1.09/1.51    Z ) ), ~( 'c_OrderedGroup_Oab__semigroup__idem__mult'( X, T ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( X, Y ), Y ), Y ), ~( 
% 1.09/1.51    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Z ) ) ],
% 1.09/1.51     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.09/1.51     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.09/1.51    'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.09/1.51     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.09/1.51    'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Z ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Y ), Y ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.09/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.09/1.51    'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.09/1.51     ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~( 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL( 
% 1.09/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.09/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~( 
% 1.09/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.09/1.51    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.09/1.51     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.09/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.09/1.51     [ ~( =( hAPP( X, 'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ) )
% 1.09/1.51    , hAPP( Y, 'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ) ) ) ), 
% 1.09/1.51    'c_Map_Omap__le'( X, Y, Z, T ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.09/1.51    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 
% 1.09/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.09/1.51    , T ), U ), Z, X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) )
% 1.09/1.51    , 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( Y, 
% 1.09/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 
% 1.09/1.51    'tc_bool' ) ), T ), U ), Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Z
% 1.09/1.51     ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.51     ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.51    , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.09/1.51     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.09/1.51    ,
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.09/1.51    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.09/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.09/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.09/1.51    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.09/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.09/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.09/1.51     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.09/1.51     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.09/1.51     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.09/1.51     ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 1.09/1.51    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 1.09/1.51    ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 1.09/1.51    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.09/1.51     [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.09/1.51     ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ), 
% 1.09/1.51    ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 1.09/1.51     ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 1.09/1.51     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X, 
% 1.09/1.51    Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 1.09/1.51     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.09/1.51     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.09/1.51     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.09/1.51     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.09/1.51     [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.09/1.51     [ 'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ), ~( 
% 1.09/1.51    'c_Lattices_Olower__semilattice'( Z, T, X, Y ) ) ],
% 1.09/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( X, T ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( W, X, Y, V0 )
% 1.09/1.51     ) ],
% 1.09/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.09/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.09/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.09/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.09/1.51     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), hAPP( hAPP( 
% 1.09/1.51    'c_Set_Oinsert'( Y ), T ), U ) ), hAPP( hAPP( X, T ), hAPP( hAPP( 
% 1.09/1.51    'c_Finite__Set_Ofold'( X, Y, Y ), Z ), U ) ) ), ~( 
% 1.09/1.51    'c_Finite__Set_Ofinite'( U, Y ) ), ~( 'c_Lattices_Olower__semilattice'( W
% 1.14/1.51    , V0, X, Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.14/1.51    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.14/1.51    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.14/1.51     ), Z ), Y ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.14/1.51    'c_Finite__Set_Olattice__class_OInf__fin'( X ), 'c_Finite__Set_Ofold1'( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.14/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold__graph'( Z, T, X, Y, U ), W ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.14/1.51    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.14/1.51    'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.14/1.51    , X, X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ =( X, Y ), ~( =( hAPP( 'c_Fun_Ofun__upd'( Z, T, 
% 1.14/1.51    'c_Option_Ooption_OSome'( X, U ), W, 'tc_Option_Ooption'( U ) ), T ), 
% 1.14/1.51    'c_Option_Ooption_OSome'( Y, U ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'( 
% 1.14/1.51    'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.14/1.51    'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( 
% 1.14/1.51    X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.51    Z, T, X ) ) ) ],
% 1.14/1.51     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ), 
% 1.14/1.51    U ) ) ],
% 1.14/1.51     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), Y ) ],
% 1.14/1.51     [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z, 
% 1.14/1.51    X, T ) ) ],
% 1.14/1.51     [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 1.14/1.51    , T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OlessThan'( Y, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 1.14/1.51     ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.14/1.51    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.14/1.51     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 
% 1.14/1.51    'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.51    , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.51    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( X, U, Y, W ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( X, U, Y, W ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( X, W, Z, V0 ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.14/1.51    Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.14/1.51    Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), T ), Y ) ), Z ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, Z ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( W, X, Y, V0 )
% 1.14/1.51     ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.14/1.51    hAPP( T, U ), Z ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.14/1.51    hAPP( T, Z ), U ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.14/1.51    hAPP( T, Z ), U ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( 
% 1.14/1.51    hAPP( T, U ), Z ) ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, T, V0
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, Z ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, Y, V0 )
% 1.14/1.51     ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( X, T ), U ) ) ), ~( 'c_Lattices_Olower__semilattice'( X, W, Y, V0 )
% 1.14/1.51     ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( 'c_COMBC'( 'c_lessequals'( X ), X, X, 
% 1.14/1.51    'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' )
% 1.14/1.51    , 'c_Orderings_Oord__class_Omax'( X ), X ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.14/1.51    Z ) ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.14/1.51    Z ) ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.14/1.51    'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.14/1.51    , X, X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.14/1.51     ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.14/1.51     ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.14/1.51     ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.14/1.51     ) ), Z ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.14/1.51    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.14/1.51     ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.14/1.51     ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.51     ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Y ) ) ],
% 1.14/1.51     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.14/1.51    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 
% 1.14/1.51    Z ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.14/1.51    Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.14/1.51     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, 
% 1.14/1.51    Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.14/1.51     ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.14/1.51    , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 1.14/1.51    , U, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.14/1.51    'c_OrderedGroup_Oab__semigroup__idem__mult'( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.14/1.51     ],
% 1.14/1.51     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U
% 1.14/1.51    , 'tc_Option_Ooption'( T ) ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( 
% 1.14/1.51    'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U, 
% 1.14/1.51    'tc_Option_Ooption'( T ) ), X ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.14/1.51     ), U ), 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBB'( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), T, X, X )
% 1.14/1.51    , U ), Z, T, X ) ) ],
% 1.14/1.51     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 1.14/1.51    , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ), 
% 1.14/1.51    =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 1.14/1.51    , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.14/1.51     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 1.14/1.51    , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), 
% 1.14/1.51    ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.14/1.51     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.14/1.51    , Y ) ],
% 1.14/1.51     [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.14/1.51    , Y ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y )
% 1.14/1.51    , hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Z ) ) )
% 1.14/1.51    , ~( 'c_Finite__Set_Ofinite'( Y, X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ), =( Z, 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.51     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.14/1.51    , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), X ), Y ) ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 1.14/1.51     ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.51    , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.51    , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.51    , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U )
% 1.14/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.51    , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 1.14/1.51     ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 
% 1.14/1.51    'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.14/1.51    Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U, 
% 1.14/1.51    'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( W, Y, 
% 1.14/1.51    'c_Option_Ooption_OSome'( V0, T ), U, 'tc_Option_Ooption'( T ) ) ) ), =( 
% 1.14/1.51    Z, V0 ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T, 
% 1.14/1.51    'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~( 
% 1.14/1.51    'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.14/1.51     ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.14/1.51    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.14/1.51     ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( 
% 1.14/1.51    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.14/1.51    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    'c_Set_Ovimage'( Y, X, Z ), T ) ), hAPP( 'c_Set_Ovimage'( Y, X, Z ), U )
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T
% 1.14/1.51     ), U ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.14/1.51    'c_Lattices_Olower__semilattice'( 'c_COMBC'( 'c_lessequals'( X ), X, X, 
% 1.14/1.51    'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' )
% 1.14/1.51    , 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.14/1.51    , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.14/1.51     ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.14/1.51    , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.14/1.51     ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.14/1.51     ), Z ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~( 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.14/1.51     ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.14/1.51     ), Z ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ), Y ), Z ) ), 
% 1.14/1.51    hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Y ) )
% 1.14/1.51     ), ~( 'c_in'( T, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.14/1.51    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.51    Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.14/1.51    , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.51    Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.14/1.51    , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), Y ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), 
% 1.14/1.51    hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), Y ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.14/1.51     ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.14/1.51     ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51    , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T, 
% 1.14/1.51    X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.14/1.51     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 1.14/1.51    , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.51    , T ), X ), Y ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.51    , X ), T ), Y ) ) ) ],
% 1.14/1.51     [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.14/1.51     ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.14/1.51     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.14/1.51    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.14/1.51    , Y ), Z ), Z, X ), Y ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.14/1.51    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.51     ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.14/1.51    , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.51     ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ), 
% 1.14/1.51    'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Finite__Set_Ofold'( Y, Z, Z ), T
% 1.14/1.51     ), U ) ), hAPP( hAPP( Y, W ), T ) ) ), ~( 'c_in'( W, U, Z ) ), ~( 
% 1.14/1.51    'c_Finite__Set_Ofinite'( U, Z ) ), ~( 'c_Lattices_Olower__semilattice'( X
% 1.14/1.51    , V0, Y, Z ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL( 
% 1.14/1.51    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.14/1.51    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.51    , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP( 
% 1.14/1.51    'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.14/1.51     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.51    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.51     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.14/1.51    hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.51    'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 
% 1.14/1.51    'c_in'( X, Z, Y ) ) ],
% 1.14/1.51     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~( 
% 1.14/1.51    'c_in'( X, Z, Y ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.14/1.51    'tc_bool' ) ), T ), Y ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.51    , T ), Y ), Z ) ) ],
% 1.14/1.51     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.51    , Y ), T ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y, hAPP( 
% 1.14/1.51    hAPP( 'c_Set_Oinsert'( X ), Z ), T ), X, X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ) ), 'c_in'( Z, T, X ), ~( 
% 1.14/1.51    hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Z, T, X, X ), U ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), 'c_in'( Z
% 1.14/1.51    , Y, X ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), 'c_in'( Z
% 1.14/1.51    , Y, X ), 'c_in'( Z, T, X ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), 'c_in'( T, Y, X ), 'c_in'( T, Z, X ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, hAPP( 
% 1.14/1.51    hAPP( 'c_Set_Oinsert'( X ), Z ), T ), X, X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Y ), U ) ) ), 'c_in'( Z, T, X ), ~( 
% 1.14/1.51    hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X
% 1.14/1.51     ), Z, T, X, X ), U ) ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( X ) ), Y ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.14/1.51     ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), U ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Z ), T ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), T ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.14/1.51     [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 1.14/1.51    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.14/1.51     [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ) ) ) ) ],
% 1.14/1.51     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( Z, Y, 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T, U ), X ) )
% 1.14/1.51     ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.51     ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.14/1.51     ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.14/1.51    ,
% 1.14/1.51     [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, 
% 1.14/1.51    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) )
% 1.14/1.51     ],
% 1.14/1.51     [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.51    'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.51    , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.14/1.51    'tc_bool' ) ), Z ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( 
% 1.14/1.51    hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.51    , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.51    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.51    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.51     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.51     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.51    hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.14/1.51    'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'( 
% 1.14/1.51    Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( T ), U )
% 1.14/1.51    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( 
% 1.14/1.51    T, 'tc_bool' ) ), T, X ) ) ), ~( 'c_in'( U, Z, T ) ), ~( 
% 1.14/1.51    'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.14/1.51     [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( 'c_COMBK'( 
% 1.14/1.51    'c_Option_Ooption_ONone'( X ), 'tc_Option_Ooption'( X ), Y ), Z, 
% 1.14/1.51    'c_Option_Ooption_OSome'( T, X ), Y, 'tc_Option_Ooption'( X ) ), Y, X ), 
% 1.14/1.51    hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.51    'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.14/1.51     [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 1.14/1.51    X ), 'c_Finite__Set_Ocard'( Z, X ) ), ~( 'c_in'( Y, Z, X ) ), ~( 
% 1.14/1.51    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( 
% 1.14/1.51    'c_Finite__Set_Olattice__class_OInf__fin'( X ), Z ) ), Y ), ~( 'c_in'( Y
% 1.14/1.51    , Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.51     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 1.14/1.51    hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.14/1.51    , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.51    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'( 
% 1.14/1.51    Y, 'tc_bool' ) ) ) ), ~( 'c_in'( W, X, U ) ) ],
% 1.14/1.51     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.14/1.51    , X, X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.14/1.51    , X, X ), Y ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.14/1.51     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP( 
% 1.14/1.51    hAPP( 'c_lessequals'( X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z
% 1.14/1.51    , X ) ) ), ~( 'c_in'( Y, Z, X ) ) ],
% 1.14/1.51     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.51    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.14/1.51    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.14/1.51     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.14/1.51    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.14/1.51     ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.51    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.51     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.14/1.52    Z ), Y ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, Z )
% 1.14/1.52    , T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ), W ) ), hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, Z )
% 1.14/1.52    , T ), W ) ) ), 'c_in'( U, W, Z ), ~( 'c_Finite__Set_Ofinite'( W, Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), U ), Z
% 1.14/1.52    , X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, T ) ), 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), 'c_in'( T, U, Z ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, Z
% 1.14/1.52     ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ), W ) ), hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, U ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, Z
% 1.14/1.52     ), T ), W ) ) ), 'c_in'( U, W, Z ), ~( 'c_Finite__Set_Ofinite'( W, Z ) )
% 1.14/1.52     ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.14/1.52    , X, X ), Z ), T ) ) ), ~( 'c_in'( Y, T, X ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OSup__class_OSup'( Y, X ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.14/1.52    , X, X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( 
% 1.14/1.52    U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U, 
% 1.14/1.52    X ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool'
% 1.14/1.52     ) ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, X ) ), 
% 1.14/1.52    hAPP( hAPP( 'c_Finite__Set_Ofold'( 'c_COMBB'( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), T, X, 'tc_fun'( X, X )
% 1.14/1.52    , U ), U, X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), Y ) ), Z ) ), ~( 
% 1.14/1.52    'c_in'( Z, Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), T ) )
% 1.14/1.52    , ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), X, X ), Y ), Z ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 1.14/1.52     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y, 
% 1.14/1.52    Z, X ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 1.14/1.52     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y, 
% 1.14/1.52    Z, X ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X ), Y
% 1.14/1.52     ) ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Y
% 1.14/1.52     ) ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.14/1.52     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.52    , T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.14/1.52     ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), T ), U ), Z, W ), hAPP( hAPP( X, T ), V0 ) ) ), ~( 
% 1.14/1.52    hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, U, Z, W ), V0 ) ) ), 
% 1.14/1.52    'c_in'( T, U, Z ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Z ), T ) ), 'c_in'( Y, T, X ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Y ), T ) ), 'c_in'( Z, Y, X ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.52     ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.14/1.52     ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), 'c_in'( T, Y, X ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), 'c_in'( Z, Y, X
% 1.14/1.52     ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.14/1.52     ) ), 'c_in'( T, Y, X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), 'c_in'( Z, Y, X
% 1.14/1.52     ) ],
% 1.14/1.52     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 
% 1.14/1.52    'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), X ), T ) ), Y ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), Z ) ), ~( 'c_in'( T, Z, X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( 'c_in'( Z, T
% 1.14/1.52    , X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Y ), T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ) ) ), ~( 'c_in'( Y, T, X ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), T ) ) ), ~( 'c_in'( Z, Y, X ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_in'( Y, T
% 1.14/1.52    , X ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ), 
% 1.14/1.52    ~( 'c_in'( Z, T, U ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.14/1.52    , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 'c_in'( Z, T, U ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.14/1.52    , Z ) ), T ) ), ~( 'c_in'( Z, U, W ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 1.14/1.52    , Y ) ],
% 1.14/1.52     [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ) ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ) ), 'c_in'( Z, T, X ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_HOL_Ominus__class_Ominus'( T, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), X, X ), U ) ), 'c_in'( 
% 1.14/1.52    Z, T, X ), ~( 'c_in'( Y, T, X ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X
% 1.14/1.52     ), U ) ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_HOL_Ominus__class_Ominus'( T, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), X, X ), U ) ), 'c_in'( 
% 1.14/1.52    Z, T, X ), ~( 'c_in'( Y, T, X ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, X
% 1.14/1.52    , X ), U ) ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Finite__Set_Ofold'( 'c_COMBB'( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z, X, 'tc_fun'( X, X )
% 1.14/1.52    , T ), T, X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.14/1.52    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.14/1.52    , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.14/1.52    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.14/1.52    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.14/1.52    , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~( 'c_in'( T, Y, X ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_in'( Z, T, X ) ), ~( 
% 1.14/1.52    hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), T ) ) )
% 1.14/1.52     ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Orderings_Oord__class_Omin'( X ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( 'c_in'( T, Y, X )
% 1.14/1.52     ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), Y ), Z ) ), ~( 'c_in'( Z, T, X ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( X ), X ), T ) ) ) ), =( T, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.14/1.52    , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 1.14/1.52    Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =( 
% 1.14/1.52    X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), X, X ), Y ), Z ) ), 'c_in'( Y, Z, X )
% 1.14/1.52    , ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.14/1.52    'c_HOL_Oplus__class_Oplus'( X ), X, X ), Y ), Z ) ), 'c_in'( Y, Z, X ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ =( X, 'c_Option_Ooption_OSome'( Y, Z ) ), ~( 'c_in'( Y, 
% 1.14/1.52    'c_Option_Oset'( X, Z ), Z ) ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_Option_Oset'( 'c_Option_Ooption_OSome'( X, Y ), Y ), Y )
% 1.14/1.52     ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.14/1.52     ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ) ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Z ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.14/1.52     ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y ) ), 
% 1.14/1.52    hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Z )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( 
% 1.14/1.52    'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Z ), Z, 
% 1.14/1.52    'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 1.14/1.52    , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ), 
% 1.14/1.52    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ =( 'c_Option_Oset'( 'c_Option_Ooption_ONone'( X ), X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Option_Ooption_ONone'( Y ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( X ), 'c_Complete__Lattice_OInf__class_OInf'( Y, X )
% 1.14/1.52     ), Z ) ), ~( 'c_in'( Z, Y, X ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold'( X, U, U ), Y ), T ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    T, U ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, V0, V1, V2, 
% 1.14/1.52    X, V3, V4, U ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold'( X, U, U ), Y ), T ) ), ~( 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    T, U ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Z, W, V0, V1, X, 
% 1.14/1.52    V2, V3, V4, U ) ) ],
% 1.14/1.52     [ =( hAPP( X, Y ), hAPP( hAPP( 'c_Finite__Set_Ofold'( Z, T, T ), U ), Y
% 1.14/1.52     ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, Z, U, V3, T )
% 1.14/1.52     ) ],
% 1.14/1.52     [ =( hAPP( X, Y ), hAPP( hAPP( 'c_Finite__Set_Ofold'( Z, T, T ), U ), Y
% 1.14/1.52     ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, Z, V2, V3, U, T )
% 1.14/1.52     ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.52    X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ), 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( X, 'c_Fun_Ofun__upd'( Y, Z, 
% 1.14/1.52    'c_Option_Ooption_OSome'( T, U ), W, 'tc_Option_Ooption'( U ) ), W, U ), 
% 1.14/1.52    'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, Y, W, U ), Z, 
% 1.14/1.52    'c_Option_Ooption_OSome'( T, U ), W, 'tc_Option_Ooption'( U ) ) ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 1.14/1.52    'tc_Option_Ooption'( X ), Y ), Z, Y, X ), Z ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( X, 'c_COMBK'( 'c_Option_Ooption_ONone'( Y ), 
% 1.14/1.52    'tc_Option_Ooption'( Y ), Z ), Z, Y ), X ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.14/1.52     ), T, 'tc_Option_Ooption'( Z ) ), X, T, Z ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 1.14/1.52    'tc_Option_Ooption'( X ), Y ), Z, Y, X ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X, Z ) ) ), ~( 
% 1.14/1.52    'c_Map_Omap__le'( Y, T, X, Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Orderings_Oord__class_Omax'( X ), X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_Orderings_Oord__class_Omin'( X ), X ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 'c_Finite__Set_Ofold'( 
% 1.14/1.52    'c_Set_Oinsert'( X ), X, 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP( 
% 1.14/1.52    'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52     ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'( 
% 1.14/1.52    Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 
% 1.14/1.52    'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 1.14/1.52     ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 1.14/1.52     ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52    , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52    , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( X, hAPP( 'c_Finite__Set_Ofold1'( Y, Z ), T ) ), U )
% 1.14/1.52     ), ~( 'c_in'( U, T, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ), ~( 
% 1.14/1.52    'c_Lattices_Olower__semilattice'( X, W, Y, Z ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X, 
% 1.14/1.52    T, Y ) ],
% 1.14/1.52     [ =( 'c_Option_Oset'( 'c_Option_Ooption_OSome'( X, Y ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), W ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olattice__class_OInf__fin'( X ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_OInf__class_OInf'( Y, X ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ =( 'c_Finite__Set_Olattice_OSup__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, Z ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( U, T, W, V0, V1, X, V2, V3, Z )
% 1.14/1.52     ) ],
% 1.14/1.52     [ =( 'c_Finite__Set_Olattice_OInf__fin'( X, Y, Z ), hAPP( T, Y ) ), =( Y
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, Z ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( T, U, W, V0, X, V1, V2, V3, Z )
% 1.14/1.52     ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_in'( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ), Z, Y ), ~( 'c_in'( 
% 1.14/1.52    hAPP( hAPP( X, 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1'( 
% 1.14/1.52    X, Y ) ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2'( 
% 1.14/1.52    X, Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1'( 
% 1.14/1.52    X, Y ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2'( 
% 1.14/1.52    X, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.14/1.52    , Y ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52     ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.14/1.52     [ =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( 
% 1.14/1.52    'c_Map_Osko__Map__XdomD__1__1'( Y, X, Z, T ), T ) ), ~( 'c_in'( Y, 
% 1.14/1.52    'c_Map_Odom'( X, Z, T ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), Y ), hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X
% 1.14/1.52     ), Z ) ) ), ~( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 1.14/1.52     ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( X ), hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Y
% 1.14/1.52     ) ), Z ) ), ~( 'c_in'( Z, Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 1.14/1.52     ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 1.14/1.52     ) ), 'c_in'( 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y, 
% 1.14/1.52    Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 1.14/1.52     ) ), 'c_in'( 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y, 
% 1.14/1.52    Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( =( 'c_Map_Odom'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_COMBK'( 'c_Option_Ooption_ONone'( 
% 1.14/1.52    Z ), 'tc_Option_Ooption'( Z ), Y ) ) ],
% 1.14/1.52     [ =( 'c_Map_Odom'( 'c_COMBK'( 'c_Option_Ooption_ONone'( X ), 
% 1.14/1.52    'tc_Option_Ooption'( X ), Y ), Y, X ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), T ), Y ), U ) ), 'c_in'( Z, T, Y ), ~( hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( X, Z, T, Y, Y ), U ) ) ) ],
% 1.14/1.52     [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( X, Y, Z, T, 'tc_Option_Ooption'( U
% 1.14/1.52     ) ), T, U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ), 'c_Map_Odom'( X, T, 
% 1.14/1.52    U ) ) ), =( Z, 'c_Option_Ooption_ONone'( U ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), T ), U ), Z, Z ), hAPP( hAPP( X, Y ), W ) ) ), 
% 1.14/1.52    'c_in'( T, U, Z ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, T, U
% 1.14/1.52    , Z, Z ), W ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, Y, Z ), 
% 1.14/1.52    'c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1'( 
% 1.14/1.52    Y, X, Z ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.14/1.52    'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X
% 1.14/1.52    , Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 
% 1.14/1.52    =( 'c_Map_Omap__add'( Y, T, X, Z ), 'c_Map_Omap__add'( T, Y, X, Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_Map_Omap__le'( X, Y, Z, T ), 'c_in'( 
% 1.14/1.52    'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ), 'c_Map_Odom'( X, Z
% 1.14/1.52    , T ), Z ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.14/1.52     ), T, 'tc_Option_Ooption'( Z ) ), 'c_Fun_Ofun__upd'( U, Y, 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, Z ), T, 'tc_Option_Ooption'( Z ) ), T, Z ), 
% 1.14/1.52    ~( 'c_Map_Omap__le'( X, U, T, Z ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, U ), hAPP( hAPP( 
% 1.14/1.52    X, W ), V0 ) ) ), ~( 'c_in'( W, Z, T ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( T ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    T, 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), V0 ) ) ) ],
% 1.14/1.52     [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y, hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z, 'tc_nat' ), 
% 1.14/1.52    'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ) ), 'c_in'( T, Y, Z ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( 'c_in'( Z, Y
% 1.14/1.52    , X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) )
% 1.14/1.52     ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( 'c_in'( Z, Y
% 1.14/1.52    , X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ), 'c_in'( Z, T, X )
% 1.14/1.52     ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.14/1.52     ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z
% 1.14/1.52     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), T ) ), ~( 'c_in'( Z, Y, X ) ), 'c_in'( Z, T
% 1.14/1.52    , X ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( 'c_in'( Z, Y, X ) ), 
% 1.14/1.52    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( 'c_in'( Z, Y, X ) ), 
% 1.14/1.52    ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ) ), T ) ), ~( 'c_in'( Z, Y, X ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 1.14/1.52     [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.14/1.52    , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( W, 'tc_bool' ) ) ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), 
% 1.14/1.52    ~( 'c_in'( T, Z, W ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_in'( Z, T, U ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( X, Y ), hAPP( 'c_Finite__Set_Ofold1'( W, U ), T ) ) ) ), =( T
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( T, U ) ), ~( 'c_Lattices_Olower__semilattice'( X
% 1.14/1.52    , V0, W, U ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), T ) ), hAPP( hAPP( X, Z ), hAPP( 'c_Finite__Set_Ofold1'( X, Y )
% 1.14/1.52    , T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.14/1.52    , hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y
% 1.14/1.52     ) ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X
% 1.14/1.52     ), Z ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.52     ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ) ), hAPP( hAPP( X, hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ) )
% 1.14/1.52    , hAPP( 'c_Finite__Set_Ofold1'( X, Y ), T ) ) ), =( T, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( T, Y ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__idem__mult'( X, Y ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( T ), W ), V0 ) ), hAPP( hAPP( X, hAPP( Y, W ) ), 
% 1.14/1.52    hAPP( hAPP( 'c_Finite__Set_Ofold__image'( X, Y, Z, T ), U ), V0 ) ) ), 
% 1.14/1.52    'c_in'( W, V0, T ), ~( 'c_Finite__Set_Ofinite'( V0, T ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), 
% 1.14/1.52    hAPP( 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), 
% 1.14/1.52    hAPP( 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ) ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ) ), hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), 
% 1.14/1.52    'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( 'c_Fun_Ofun__upd'( X, Y, 
% 1.14/1.52    'c_Option_Ooption_OSome'( Z, T ), U, 'tc_Option_Ooption'( T ) ), W, U, T
% 1.14/1.52     ), 'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, W, U, T ), Y, 
% 1.14/1.52    'c_Option_Ooption_OSome'( Z, T ), U, 'tc_Option_Ooption'( T ) ) ), 'c_in'( 
% 1.14/1.52    Y, 'c_Map_Odom'( W, U, T ), U ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 
% 1.14/1.52    X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 1.14/1.52    , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'( 
% 1.14/1.52    'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate', 
% 1.14/1.52    'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ), 
% 1.14/1.52    'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'( 
% 1.14/1.52    'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Finite__Set_Ocard'( 
% 1.14/1.52    X, Y ) ), 'c_in'( Z, X, Y ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, X ), 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_in'( U, Z, T ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.14/1.52    X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.14/1.52    X ), Z ) ) ), 'c_in'( Y, Z, X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), 
% 1.14/1.52    =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 
% 1.14/1.52    'c_HOL_Otimes__class_Otimes'( X ), X ), Z ) ) ), 'c_in'( Y, Z, X ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.14/1.52     ), T, 'tc_Option_Ooption'( Z ) ), T, Z ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    'c_Map_Odom'( X, T, Z ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 1.14/1.52    , 'tc_bool' ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), T ), 'c_HOL_Ominus__class_Ominus'( U, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), Z, Z ), W ) ), 'c_in'( T, 
% 1.14/1.52    U, Z ), ~( 'c_in'( Y, U, Z ) ), ~( hBOOL( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold__graph'( X, T, U, Z, Z ), W ) ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Ofold'( X, Y, Y ), Z ), T ) )
% 1.14/1.52    , 'c_in'( Z, T, Y ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Ofold1'( T, X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( T, hAPP( 'c_Finite__Set_Ofold1'( T, X ), Y ) )
% 1.14/1.52    , hAPP( 'c_Finite__Set_Ofold1'( T, X ), Z ) ) ) ],
% 1.14/1.52     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 1.14/1.52    Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( T ), U )
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( 
% 1.14/1.52    T, 'tc_bool' ) ), T, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( Y, U ), X ) ), ~( 'c_in'( U
% 1.14/1.52    , Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.14/1.52    'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, X ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( 
% 1.14/1.52    Y, U ), X ) ), ~( 'c_in'( U, Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T )
% 1.14/1.52     ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.52     ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.14/1.52    , V2, Z, Y ) ) ],
% 1.14/1.52     [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.14/1.52     ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.14/1.52    , Z, V2, Y ) ) ],
% 1.14/1.52     [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.14/1.52     ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), Y ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.52     ) ) ), Y ), Y ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ), X ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 1.14/1.52    , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 
% 1.14/1.52    'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.52    U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.14/1.52    , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.52    U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.14/1.52    , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.14/1.52     ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ) ) ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), Y ), U ), 'tc_fun'( T, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 1.14/1.52     ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ), 
% 1.14/1.52    ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_in'( U, Y, T ) ) ],
% 1.14/1.52     [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 
% 1.14/1.52    'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_in'( U, X, Z ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.14/1.52    , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 1.14/1.52    , 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_in'( Y, T, X ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.14/1.52    , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 1.14/1.52     ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), 
% 1.14/1.52    'c_in'( Y, T, X ) ],
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.14/1.52     ) ],
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.14/1.52     ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 1.14/1.52     ) ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), T ) ), hAPP( hAPP( X, Z ), hAPP( 'c_Finite__Set_Ofold1'( X, Y )
% 1.14/1.52    , T ) ) ), 'c_in'( Z, T, Y ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T
% 1.14/1.52    , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Y, X ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Y, X ), =( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.14/1.52    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 1.14/1.52    U ) ) ), ~( 'c_in'( W, X, Z ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.14/1.52    , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), 
% 1.14/1.52    U ) ) ), ~( 'c_in'( W, X, Z ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( 'c_in'( Y, T, U ) ), 
% 1.14/1.52    ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2, V3, V4
% 1.14/1.52    , U ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( 'c_in'( T, Z, U ) ), 
% 1.14/1.52    ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2, V3, V4
% 1.14/1.52    , U ) ) ],
% 1.14/1.52     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, 
% 1.14/1.52    U, T ), Z ), U ) ) ],
% 1.14/1.52     [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, 
% 1.14/1.52    U, T ), Z ), U ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ), ~( 'c_in'( hAPP( 
% 1.14/1.52    Y, X ), U, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ), ~( 'c_in'( hAPP( 
% 1.14/1.52    Y, X ), U, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ), ~( 'c_in'( hAPP( 
% 1.14/1.52    Y, X ), U, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z
% 1.14/1.52    , T, 'tc_fun'( U, 'tc_bool' ) ), U ), ~( 'c_in'( X, hAPP( Z, W ), U ) ), 
% 1.14/1.52    ~( 'c_in'( W, Y, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z
% 1.14/1.52    , T, 'tc_fun'( U, 'tc_bool' ) ), U ), ~( 'c_in'( X, hAPP( Z, W ), U ) ), 
% 1.14/1.52    ~( 'c_in'( W, Y, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.14/1.52     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.14/1.52     ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.14/1.52     [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T, 
% 1.14/1.52    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.14/1.52     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52    , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.14/1.52     [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.52    , T ), Y ), Z ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, Z, Y ) ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( 'c_Map_Omap__add'( X, Y, Z, T ), U, Z, T ), ~( 
% 1.14/1.52    'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ), ~( 
% 1.14/1.52    'c_Map_Omap__le'( Y, U, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( Y, X, Z, T ), Z, T ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 1.14/1.52    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 1.14/1.52     ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 1.14/1.52    'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 1.14/1.52     ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T, 
% 1.14/1.52    Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 1.14/1.52    , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.52    , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP( 
% 1.14/1.52    'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.14/1.52     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    Y, X ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Z ), Y ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ) ],
% 1.14/1.52     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ) ],
% 1.14/1.52     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), ~( =( hAPP( 
% 1.14/1.52    U, Y ), 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( 'c_Map_Omap__add'( X
% 1.14/1.52    , U, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ],
% 1.14/1.52     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( X, U ), 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, T ) ), =( hAPP( Y, U ), 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, T ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ) ), T ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), T ) ) ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52    , T, X ) ) ), =( Z, T ) ],
% 1.14/1.52     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52    , T, X ) ) ), =( Y, Z ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.14/1.52    'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ), 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 1.14/1.52    'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 1.14/1.52     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ), 'c_The'( 
% 1.14/1.52    'c_Finite__Set_Ofold1Set'( X, Z, Y ), Y ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, 
% 1.14/1.52    U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.14/1.52    'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ), 
% 1.14/1.52    'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.14/1.52    , T ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.14/1.52    , Z ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( 'c_Map_Omap__add'( 
% 1.14/1.52    U, X, Z, T ), Y, Z, T ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( 'c_in'( Y, T, U ) ), 
% 1.14/1.52    ~( 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 1.14/1.52     [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ), 
% 1.14/1.52    ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 1.14/1.52     [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.14/1.52    , 'c_Map_Odom'( Y, Z, T ) ), 'c_Map_Odom'( X, Z, T ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), hAPP( Y, Z ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_in'( Z, T, U ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 1.14/1.52     ) ) ), =( X, Z ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ), 
% 1.14/1.52    'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.14/1.52    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.14/1.52    , U ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.14/1.52    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.14/1.52    , U ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.14/1.52    'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 
% 1.14/1.52    X, 'tc_bool' ) ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.14/1.52     [ =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T ) )
% 1.14/1.52    , ~( 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T )
% 1.14/1.52     ) ), 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ],
% 1.14/1.52     [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 1.14/1.52    , Y, Z, T ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 
% 1.14/1.52    'tc_bool' ) ), hAPP( T, Y ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'( 
% 1.14/1.52    U, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( Y, U ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ), 
% 1.14/1.52    'c_Option_Ooption_OSome'( W, T ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( 
% 1.14/1.52    Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 1.14/1.52     ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 
% 1.14/1.52    'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ) ), Y ) ) ],
% 1.14/1.52     [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.14/1.52    , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X, 
% 1.14/1.52    'tc_fun'( U, 'tc_bool' ) ) ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'( 
% 1.14/1.52    U, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( T, hAPP( X, U ) ) ) ) ],
% 1.14/1.52     [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.14/1.52     [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z, 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 1.14/1.52     ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.14/1.52    , Y ) ],
% 1.14/1.52     [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~( 
% 1.14/1.52    'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 1.14/1.52    Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 1.14/1.52    , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), 
% 1.14/1.52    Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.14/1.52     [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 
% 1.14/1.52    'tc_bool' ) ) ), T ), Y ) ) ) ],
% 1.14/1.52     [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 
% 1.14/1.52    'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.14/1.52    , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 1.14/1.52    , Z ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( 
% 1.14/1.52    'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.14/1.52    , Y ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Orderings_Oorder'( X ) ), =( 
% 1.14/1.52    'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.14/1.52    , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.14/1.52     [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( 
% 1.14/1.52    'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 1.14/1.52    , Y ) ],
% 1.14/1.52     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), 'c_in'( 
% 1.14/1.52    U, 'c_Map_Odom'( Y, Z, T ), Z ) ],
% 1.14/1.52     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), 'c_in'( 
% 1.14/1.52    U, 'c_Map_Odom'( X, Z, T ), Z ) ],
% 1.14/1.52     [ 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ), =( hAPP( Y, X ), 
% 1.14/1.52    'c_Option_Ooption_ONone'( T ) ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( 'c_in'( Y, 
% 1.14/1.52    'c_Map_Odom'( X, T, Z ), T ) ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), 'c_in'( Y, 
% 1.14/1.52    'c_Map_Odom'( X, U, T ), U ) ],
% 1.14/1.52     [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( 'c_in'( Y, 'c_Map_Odom'( X, T, U )
% 1.14/1.52    , T ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 1.14/1.52     [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~( 
% 1.14/1.52    'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ],
% 1.14/1.52     [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( U ), Y ), 'c_Map_Odom'( X, U, T ) ), 'c_Map_Odom'( 
% 1.14/1.52    X, U, T ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.14/1.52     ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.14/1.52    , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL( 
% 1.14/1.52    hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.14/1.52     ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.14/1.52    , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.14/1.52     ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.14/1.52    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.14/1.52    , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.14/1.52    , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.14/1.52     ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y, 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 
% 1.14/1.52    'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.14/1.52     [ =( 'c_Hoare__Mirabelle_OMGT'( X ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X, 
% 1.14/1.52    'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( 
% 1.14/1.52    Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( 
% 1.14/1.52    'c_in'( Y, Z, X ) ) ],
% 1.14/1.52     [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, T, U ), 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( U, 'tc_bool' ) ) ) ), T ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), hAPP( Y, X ) ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( T, 'tc_bool' ) ) ) ), Z ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_in'( Y
% 1.14/1.52    , Z, X ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 1.14/1.52     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 1.14/1.52    , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 1.14/1.52    , 'tc_bool' ) ), Z ), 'c_in'( Y, Z, X ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.14/1.52    , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 
% 1.14/1.52    'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 
% 1.14/1.52    'tc_Com_Ostate' ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    'tc_Com_Ostate' ), 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, 'tc_Com_Ostate' ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.14/1.52    , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_OMGT'( Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y )
% 1.14/1.52    , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( hAPP( 
% 1.14/1.52    'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( hAPP( 
% 1.14/1.52    'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 
% 1.14/1.52    'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y ), Z ) ) ) ],
% 1.14/1.52     [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 1.14/1.52    , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 1.14/1.52     ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 
% 1.14/1.52    hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.14/1.52     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.14/1.52     ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 1.14/1.52     ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( hAPP( 
% 1.14/1.52    'c_Com_Obody', T ), 'tc_Com_Ocom' ), U, Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.14/1.52     ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( hAPP( 
% 1.14/1.52    'c_Com_Obody', T ), 'tc_Com_Ocom' ), U, Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ), ~( 'c_in'( 
% 1.14/1.52    X, T, Y ) ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ), ~( 'c_in'( 
% 1.14/1.52    X, T, Y ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 
% 1.14/1.52    Y ), 'tc_bool' ) ) ), Y ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.14/1.52     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52     ), Y ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.14/1.52     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52     ), Y ) ) ],
% 1.14/1.52     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.14/1.52     ), Y ) ) ],
% 1.14/1.52     [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.14/1.52    hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.14/1.52     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.14/1.52     [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.14/1.52     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 1.14/1.52    , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 1.14/1.52     ) ],
% 1.14/1.52     [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.14/1.52     ) ), Y ) ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.14/1.52     [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.14/1.52     [ =( X, Y ), ~( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ],
% 1.14/1.52     [ 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.14/1.52     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.14/1.52    , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.14/1.52    , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.14/1.52    'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.14/1.52     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), 
% 1.14/1.52    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_in'( Y
% 1.14/1.52    , Z, X ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'( 
% 1.14/1.52    'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~( 
% 1.14/1.52    'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~( 
% 1.14/1.52    hBOOL( hAPP( Z, T ) ) ) ],
% 1.14/1.52     [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( X ), Y ), T ) ) ), 'c_in'( Y, T, X ), 'c_in'( Y, Z, X )
% 1.14/1.52    , =( Z, T ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.14/1.52     ],
% 1.14/1.52     [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( 'c_in'( Y, Z, X
% 1.14/1.52     ) ) ],
% 1.14/1.52     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.14/1.52     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 
% 1.14/1.52    'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.14/1.52     [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), 
% 1.14/1.52    'c_Com_Ocom_OSKIP', 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), 
% 1.14/1.52    'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 
% 1.14/1.52    'tc_Com_Ostate' ) ) ],
% 1.14/1.52     [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP( 
% 1.14/1.52    'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 
% 1.14/1.52    'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), 
% 1.14/1.52    'c_Com_Ocom_OBODY'( X ), 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), 
% 1.14/1.52    'tc_Com_Ostate' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.14/1.52    'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 
% 1.14/1.52    'tc_Com_Ostate' ), ~( 'c_in'( X, 'c_Map_Odom'( 'c_Com_Obody', 
% 1.14/1.52    'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ) ],
% 1.14/1.52     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Lattices_Olattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Lattices_Olattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 1.14/1.52    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.14/1.52     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Orderings_Opreorder'( Y ) ) ],
% 1.14/1.52     [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Lattices_Olattice'( Y ) ) ],
% 1.14/1.52     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.14/1.52    'class_Orderings_Oorder'( Y ) ) ],
% 1.14/1.52     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 1.14/1.52    Y ) ) ],
% 1.14/1.52     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.14/1.52    ,
% 1.14/1.52     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.14/1.52     ],
% 1.14/1.52     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.14/1.52     ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.14/1.52     [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.14/1.52     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~( 
% 1.14/1.52    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.14/1.52     [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.14/1.52     [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.14/1.52  ] .
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  percentage equality = 0.278663, percentage horn = 0.842236
% 1.14/1.52  This is a problem with some equality
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  
% 1.14/1.52  Options Used:
% 1.14/1.52  
% 1.14/1.52  useres =            1
% 1.14/1.52  useparamod =        1
% 1.14/1.52  useeqrefl =         1
% 1.14/1.52  useeqfact =         1
% 1.14/1.52  usefactor =         1
% 1.14/1.52  usesimpsplitting =  0
% 1.14/1.52  usesimpdemod =      5
% 1.14/1.52  usesimpres =        3
% 1.14/1.52  
% 1.14/1.52  resimpinuse      =  1000
% 1.14/1.52  resimpclauses =     20000
% 1.14/1.52  substype =          eqrewr
% 1.14/1.52  backwardsubs =      1
% 1.14/1.52  selectoldest =      5
% 1.14/1.52  
% 1.14/1.52  litorderings [0] =  split
% 1.14/1.52  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.14/1.52  
% 1.14/1.52  termordering =      kbo
% 1.14/1.52  
% 1.14/1.52  litapriori =        0
% 1.14/1.52  termapriori =       1
% 1.14/1.52  litaposteriori =    0
% 1.14/1.52  termaposteriori =   0
% 1.14/1.52  demodaposteriori =  0
% 1.14/1.52  ordereqreflfact =   0
% 1.14/1.52  
% 1.14/1.52  litselect =         negord
% 1.14/1.52  
% 1.14/1.52  maxweight =         15
% 1.14/1.52  maxdepth =          30000
% 1.14/1.52  maxlength =         115
% 1.14/1.52  maxnrvars =         195
% 1.14/1.52  excuselevel =       1
% 1.14/1.52  increasemaxweight = 1
% 1.14/1.52  
% 1.14/1.52  maxselected =       10000000
% 1.14/1.52  maxnrclauses =      10000000
% 1.14/1.52  
% 1.14/1.52  showgenerated =    0
% 1.14/1.52  showkept =         0
% 1.14/1.52  showselected =     0
% 1.14/1.52  showdeleted =      0
% 1.14/1.52  showresimp =       1
% 1.14/1.52  showstatus =       2000
% 1.14/1.52  
% 1.14/1.52  prologoutput =     1
% 1.14/1.52  nrgoals =          5000000
% 1.14/1.52  totalproof =       1
% 1.14/1.52  
% 1.14/1.52  Symbols occurring in the translation:
% 1.14/1.52  
% 1.14/1.52  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.14/1.52  .  [1, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 1.14/1.52  !  [4, 1]      (w:0, o:114, a:1, s:1, b:0), 
% 1.14/1.52  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.14/1.52  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.14/1.52  'tc_Option_Ooption'  [44, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 1.14/1.52  'c_Fun_Ofun__upd'  [45, 5]      (w:1, o:260, a:1, s:1, b:0), 
% 1.14/1.52  'c_Map_Omap__le'  [47, 4]      (w:1, o:242, a:1, s:1, b:0), 
% 1.14/1.52  hAPP  [50, 2]      (w:1, o:202, a:1, s:1, b:0), 
% 1.14/1.52  hBOOL  [53, 1]      (w:1, o:120, a:1, s:1, b:0), 
% 1.14/1.52  'c_Lattices_Olower__semilattice'  [55, 4]      (w:1, o:241, a:1, s:1, b:0)
% 1.14/1.52    , 
% 1.14/1.52  'class_Orderings_Olinorder'  [56, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.14/1.52  'c_lessequals'  [57, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 1.14/1.52  'c_Orderings_Oord__class_Omin'  [58, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 1.14/1.52  'tc_bool'  [60, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 1.14/1.52  'tc_fun'  [61, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 1.14/1.52  'c_Lattices_Oupper__semilattice__class_Osup'  [62, 1]      (w:1, o:125, a:1
% 1.14/1.52    , s:1, b:0), 
% 1.14/1.52  'c_Lattices_Olower__semilattice__class_Oinf'  [63, 1]      (w:1, o:126, a:1
% 1.14/1.52    , s:1, b:0), 
% 1.14/1.52  'c_OrderedGroup_Oab__semigroup__idem__mult'  [67, 2]      (w:1, o:205, a:1
% 1.14/1.52    , s:1, b:0), 
% 1.14/1.52  'class_Orderings_Oorder'  [68, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 1.14/1.52  'c_SetInterval_Oord__class_OatLeastAtMost'  [70, 3]      (w:1, o:225, a:1
% 1.14/1.52    , s:1, b:0), 
% 1.14/1.52  'c_Orderings_Oord__class_Omax'  [72, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 1.14/1.52  'c_fequal'  [73, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 1.14/1.52  'c_COMBC'  [74, 4]      (w:1, o:243, a:1, s:1, b:0), 
% 1.14/1.52  'c_The'  [75, 2]      (w:1, o:208, a:1, s:1, b:0), 
% 1.14/1.52  'class_Ring__and__Field_Ocomm__semiring__1'  [76, 1]      (w:1, o:130, a:1
% 1.14/1.53    , s:1, b:0), 
% 1.14/1.53  'c_HOL_Oplus__class_Oplus'  [77, 1]      (w:1, o:132, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Ocomm__monoid__add'  [78, 1]      (w:1, o:133, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'c_Finite__Set_Ofold__image'  [79, 4]      (w:1, o:244, a:1, s:1, b:0), 
% 1.14/1.53  'c_COMBB'  [80, 5]      (w:1, o:261, a:1, s:1, b:0), 
% 1.14/1.53  'c_Finite__Set_Ofold'  [81, 3]      (w:1, o:226, a:1, s:1, b:0), 
% 1.14/1.53  'c_Finite__Set_Ofold__graph'  [82, 5]      (w:1, o:262, a:1, s:1, b:0), 
% 1.14/1.53  'class_Ring__and__Field_Opordered__ring'  [83, 1]      (w:1, o:136, a:1, s:
% 1.14/1.53    1, b:0), 
% 1.14/1.53  'c_HOL_Otimes__class_Otimes'  [84, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 1.14/1.53  'c_HOL_Ominus__class_Ominus'  [85, 3]      (w:1, o:227, a:1, s:1, b:0), 
% 1.14/1.53  'c_Option_Ooption_OSome'  [88, 2]      (w:1, o:209, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Olordered__ab__group__add'  [89, 1]      (w:1, o:138
% 1.14/1.53    , a:1, s:1, b:0), 
% 1.14/1.53  'c_Option_Ooption_ONone'  [92, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 1.14/1.53  'c_COMBK'  [93, 3]      (w:1, o:228, a:1, s:1, b:0), 
% 1.14/1.53  'class_HOL_Oord'  [94, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 1.14/1.53  'c_SetInterval_Oord__class_OlessThan'  [96, 2]      (w:1, o:206, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'c_in'  [97, 3]      (w:1, o:229, a:1, s:1, b:0), 
% 1.14/1.53  'c_HOL_Oord__class_Oless'  [98, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 1.14/1.53  'class_Ring__and__Field_Oring'  [99, 1]      (w:1, o:141, a:1, s:1, b:0), 
% 1.14/1.53  'c_Finite__Set_Osetsum'  [100, 4]      (w:1, o:245, a:1, s:1, b:0), 
% 1.14/1.53  'c_Finite__Set_Ofinite'  [101, 2]      (w:1, o:210, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Opordered__ab__group__add'  [102, 1]      (w:1, o:142
% 1.14/1.53    , a:1, s:1, b:0), 
% 1.14/1.53  'c_Orderings_Obot__class_Obot'  [103, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 1.14/1.53    
% 1.14/1.53  'class_Lattices_Olattice'  [104, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 1.14/1.53  'class_Lattices_Olower__semilattice'  [105, 1]      (w:1, o:145, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'class_Lattices_Oupper__semilattice'  [106, 1]      (w:1, o:146, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'class_Ring__and__Field_Oidom'  [107, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 1.14/1.53    
% 1.14/1.53  'class_Int_Onumber__ring'  [108, 1]      (w:1, o:148, a:1, s:1, b:0), 
% 1.14/1.53  'c_Orderings_Olinorder'  [114, 3]      (w:1, o:230, a:1, s:1, b:0), 
% 1.14/1.53  'c_Set_Oinsert'  [115, 1]      (w:1, o:149, a:1, s:1, b:0), 
% 1.14/1.53  'class_Orderings_Opreorder'  [117, 1]      (w:1, o:150, a:1, s:1, b:0), 
% 1.14/1.53  'class_Ring__and__Field_Oordered__idom'  [119, 1]      (w:1, o:134, a:1, s:
% 1.14/1.53    1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [120, 1]      
% 1.14/1.53    (w:1, o:151, a:1, s:1, b:0), 
% 1.14/1.53  'c_Map_Osko__Map__Xmap__le__def__1__1'  [123, 4]      (w:1, o:246, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'class_OrderedGroup_Oab__group__add'  [124, 1]      (w:1, o:152, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [125, 1]      
% 1.14/1.53    (w:1, o:153, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Opordered__ab__semigroup__add'  [126, 1]      (w:1, o:
% 1.14/1.53    154, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Ogroup__add'  [128, 1]      (w:1, o:155, a:1, s:1, b:0)
% 1.14/1.53    , 
% 1.14/1.53  'c_Finite__Set_Olattice__class_OInf__fin'  [129, 1]      (w:1, o:156, a:1
% 1.14/1.53    , s:1, b:0), 
% 1.14/1.53  'c_Finite__Set_Ofold1'  [130, 2]      (w:1, o:211, a:1, s:1, b:0), 
% 1.14/1.53  'class_Lattices_Odistrib__lattice'  [131, 1]      (w:1, o:157, a:1, s:1, b:
% 1.14/1.53    0), 
% 1.14/1.53  'class_OrderedGroup_Olordered__ab__group__add__join'  [132, 1]      (w:1
% 1.14/1.53    , o:158, a:1, s:1, b:0), 
% 1.14/1.53  'class_Complete__Lattice_Ocomplete__lattice'  [133, 1]      (w:1, o:159, a:
% 1.14/1.53    1, s:1, b:0), 
% 1.14/1.53  'c_Complete__Lattice_OInf__class_OInf'  [134, 2]      (w:1, o:212, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'class_OrderedGroup_Oab__semigroup__add'  [135, 1]      (w:1, o:160, a:1
% 1.14/1.53    , s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Olordered__ab__group__add__meet'  [141, 1]      (w:1
% 1.14/1.53    , o:161, a:1, s:1, b:0), 
% 1.14/1.53  'class_Ring__and__Field_Osemiring__0'  [142, 1]      (w:1, o:162, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'  [144, 4]      (w:1
% 1.14/1.53    , o:247, a:1, s:1, b:0), 
% 1.14/1.53  'class_OrderedGroup_Oab__semigroup__idem__mult'  [145, 1]      (w:1, o:163
% 1.14/1.53    , a:1, s:1, b:0), 
% 1.14/1.53  'c_Complete__Lattice_OSup__class_OSup'  [146, 2]      (w:1, o:213, a:1, s:1
% 1.14/1.53    , b:0), 
% 1.14/1.53  'c_Complete__Lattice_Ocomplete__lattice'  [157, 9]      (w:1, o:266, a:1
% 1.14/1.53    , s:1, b:0), 
% 1.14/1.53  'class_Ring__and__Field_Osemiring'  [158, 1]      (w:1, o:164, a:1, s:1, b:
% 6.63/7.02    0), 
% 6.63/7.02  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [159, 1]      (w:1, o:165
% 6.63/7.02    , a:1, s:1, b:0), 
% 6.63/7.02  'class_OrderedGroup_Ocancel__semigroup__add'  [160, 1]      (w:1, o:166, a:
% 6.63/7.02    1, s:1, b:0), 
% 6.63/7.02  'c_Set_Ovimage'  [161, 3]      (w:1, o:231, a:1, s:1, b:0), 
% 6.63/7.02  'class_Ring__and__Field_Oordered__ring__strict'  [163, 1]      (w:1, o:135
% 6.63/7.02    , a:1, s:1, b:0), 
% 6.63/7.02  'class_OrderedGroup_Oab__semigroup__mult'  [166, 1]      (w:1, o:167, a:1
% 6.63/7.02    , s:1, b:0), 
% 6.63/7.02  'class_Lattices_Obounded__lattice'  [167, 1]      (w:1, o:168, a:1, s:1, b:
% 6.63/7.02    0), 
% 6.63/7.02  'class_Orderings_Obot'  [168, 1]      (w:1, o:169, a:1, s:1, b:0), 
% 6.63/7.02  'c_Nitpick_Ofold__graph_H'  [169, 6]      (w:1, o:263, a:1, s:1, b:0), 
% 6.63/7.02  'c_Map_Odom'  [170, 3]      (w:1, o:232, a:1, s:1, b:0), 
% 6.63/7.02  'c_Finite__Set_Ocard'  [171, 2]      (w:1, o:214, a:1, s:1, b:0), 
% 6.63/7.02  'class_Ring__and__Field_Ocomm__semiring'  [172, 1]      (w:1, o:170, a:1
% 6.63/7.02    , s:1, b:0), 
% 6.63/7.02  'c_Finite__Set_Olinorder__class_OMax'  [173, 1]      (w:1, o:171, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'  [174
% 6.63/7.02    , 3]      (w:1, o:233, a:1, s:1, b:0), 
% 6.63/7.02  'c_Finite__Set_Olinorder__class_OMin'  [175, 1]      (w:1, o:172, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'  [176
% 6.63/7.02    , 3]      (w:1, o:234, a:1, s:1, b:0), 
% 6.63/7.02  'c_Option_Oset'  [180, 2]      (w:1, o:215, a:1, s:1, b:0), 
% 6.63/7.02  'c_Map_Omap__add'  [181, 4]      (w:1, o:248, a:1, s:1, b:0), 
% 6.63/7.02  'c_Finite__Set_Olattice_OSup__fin'  [182, 3]      (w:1, o:235, a:1, s:1, b:
% 6.63/7.02    0), 
% 6.63/7.02  'c_Finite__Set_Olattice_OInf__fin'  [183, 3]      (w:1, o:236, a:1, s:1, b:
% 6.63/7.02    0), 
% 6.63/7.02  'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1'
% 6.63/7.02      [184, 2]      (w:1, o:216, a:1, s:1, b:0), 
% 6.63/7.02  'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2'
% 6.63/7.02      [185, 2]      (w:1, o:217, a:1, s:1, b:0), 
% 6.63/7.02  'c_OrderedGroup_Oab__semigroup__mult'  [186, 2]      (w:1, o:218, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_Map_Osko__Map__XdomD__1__1'  [187, 4]      (w:1, o:249, a:1, s:1, b:0), 
% 6.63/7.02    
% 6.63/7.02  'c_Finite__Set_Ofold1Set'  [188, 3]      (w:1, o:237, a:1, s:1, b:0), 
% 6.63/7.02  'c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1'
% 6.63/7.02      [189, 3]      (w:1, o:238, a:1, s:1, b:0), 
% 6.63/7.02  'tc_nat'  [192, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 6.63/7.02  'v_c'  [193, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 6.63/7.02  'c_Hoare__Mirabelle_OMGT'  [194, 1]      (w:1, o:173, a:1, s:1, b:0), 
% 6.63/7.02  'tc_Com_Ostate'  [195, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 6.63/7.02  'c_Natural_Oevalc'  [196, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 6.63/7.02  'c_Hoare__Mirabelle_Otriple_Otriple'  [197, 4]      (w:1, o:250, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  't_a'  [201, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 6.63/7.02  'tc_Hoare__Mirabelle_Otriple'  [202, 1]      (w:1, o:174, a:1, s:1, b:0), 
% 6.63/7.02  'c_Hoare__Mirabelle_Ohoare__derivs'  [203, 3]      (w:1, o:239, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xescape__2'  [204, 4]      (w:1, o:252, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xescape__1'  [205, 4]      (w:1, o:251, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_Com_Ocom_OBODY'  [207, 1]      (w:1, o:175, a:1, s:1, b:0), 
% 6.63/7.02  'c_Com_Ocom_OSemi'  [210, 2]      (w:1, o:219, a:1, s:1, b:0), 
% 6.63/7.02  'c_Com_Ocom_OSKIP'  [211, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 6.63/7.02  'c_Hoare__Mirabelle_Ohoare__valids'  [215, 3]      (w:1, o:240, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'  [221, 2]      (w:1, o:204, a:1
% 6.63/7.02    , s:1, b:0), 
% 6.63/7.02  'class_Finite__Set_Ofinite_Ofinite'  [224, 1]      (w:1, o:176, a:1, s:1
% 6.63/7.02    , b:0), 
% 6.63/7.02  'c_Option_Othe'  [227, 2]      (w:1, o:220, a:1, s:1, b:0), 
% 6.63/7.02  'c_Set_Ocontents'  [228, 2]      (w:1, o:207, a:1, s:1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'  [232, 6]      (w:1
% 6.63/7.02    , o:264, a:1, s:1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'  [233, 4]      (w:1
% 6.63/7.02    , o:254, a:1, s:1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xconseq12__3'  [236, 4]      (w:1, o:257, a:1, s:
% 6.63/7.02    1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xconseq12__2'  [237, 4]      (w:1, o:256, a:1, s:
% 6.63/7.02    1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'  [238, 6]      (w:
% 6.63/7.02    1, o:265, a:1, s:1, b:0), 
% 6.63/7.02  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'  [239, 4]      (w:
% 38.74/39.15    1, o:259, a:1, s:1, b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'  [240, 4]      (w:
% 38.74/39.15    1, o:258, a:1, s:1, b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'  [241, 4]      (w:1
% 38.74/39.15    , o:253, a:1, s:1, b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xconseq2__1'  [242, 2]      (w:1, o:223, a:1, s:1
% 38.74/39.15    , b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xconseq2__2'  [243, 2]      (w:1, o:224, a:1, s:1
% 38.74/39.15    , b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xconseq12__1'  [244, 4]      (w:1, o:255, a:1, s:
% 38.74/39.15    1, b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xconseq1__1'  [245, 2]      (w:1, o:221, a:1, s:1
% 38.74/39.15    , b:0), 
% 38.74/39.15  'v_sko__Hoare__Mirabelle__Xconseq1__2'  [246, 2]      (w:1, o:222, a:1, s:1
% 38.74/39.15    , b:0), 
% 38.74/39.15  'c_Com_Obody'  [248, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 38.74/39.15  'tc_Com_Ocom'  [249, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 38.74/39.15  'tc_Com_Opname'  [251, 0]      (w:1, o:105, a:1, s:1, b:0), 
% 38.74/39.15  'c_Hoare__Mirabelle_Ostate__not__singleton'  [259, 0]      (w:1, o:107, a:1
% 38.74/39.15    , s:1, b:0), 
% 38.74/39.15  'v_G'  [262, 0]      (w:1, o:110, a:1, s:1, b:0).
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Starting Search:
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    3886
% 38.74/39.15  Kept:         2084
% 38.74/39.15  Inuse:        129
% 38.74/39.15  Deleted:      2
% 38.74/39.15  Deletedinuse: 0
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    10343
% 38.74/39.15  Kept:         4125
% 38.74/39.15  Inuse:        203
% 38.74/39.15  Deleted:      6
% 38.74/39.15  Deletedinuse: 3
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    15028
% 38.74/39.15  Kept:         6197
% 38.74/39.15  Inuse:        258
% 38.74/39.15  Deleted:      8
% 38.74/39.15  Deletedinuse: 5
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    21676
% 38.74/39.15  Kept:         8212
% 38.74/39.15  Inuse:        311
% 38.74/39.15  Deleted:      8
% 38.74/39.15  Deletedinuse: 5
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    39829
% 38.74/39.15  Kept:         11797
% 38.74/39.15  Inuse:        347
% 38.74/39.15  Deleted:      10
% 38.74/39.15  Deletedinuse: 6
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    47549
% 38.74/39.15  Kept:         13854
% 38.74/39.15  Inuse:        409
% 38.74/39.15  Deleted:      16
% 38.74/39.15  Deletedinuse: 7
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    53459
% 38.74/39.15  Kept:         15925
% 38.74/39.15  Inuse:        451
% 38.74/39.15  Deleted:      24
% 38.74/39.15  Deletedinuse: 9
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    71151
% 38.74/39.15  Kept:         18173
% 38.74/39.15  Inuse:        462
% 38.74/39.15  Deleted:      31
% 38.74/39.15  Deletedinuse: 12
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying clauses:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    82408
% 38.74/39.15  Kept:         20211
% 38.74/39.15  Inuse:        500
% 38.74/39.15  Deleted:      338
% 38.74/39.15  Deletedinuse: 19
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    91379
% 38.74/39.15  Kept:         22287
% 38.74/39.15  Inuse:        541
% 38.74/39.15  Deleted:      343
% 38.74/39.15  Deletedinuse: 20
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    99018
% 38.74/39.15  Kept:         24499
% 38.74/39.15  Inuse:        581
% 38.74/39.15  Deleted:      343
% 38.74/39.15  Deletedinuse: 20
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    106402
% 38.74/39.15  Kept:         26515
% 38.74/39.15  Inuse:        616
% 38.74/39.15  Deleted:      359
% 38.74/39.15  Deletedinuse: 26
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    115364
% 38.74/39.15  Kept:         28516
% 38.74/39.15  Inuse:        667
% 38.74/39.15  Deleted:      369
% 38.74/39.15  Deletedinuse: 32
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    125547
% 38.74/39.15  Kept:         30805
% 38.74/39.15  Inuse:        679
% 38.74/39.15  Deleted:      378
% 38.74/39.15  Deletedinuse: 33
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    142654
% 38.74/39.15  Kept:         34135
% 38.74/39.15  Inuse:        744
% 38.74/39.15  Deleted:      396
% 38.74/39.15  Deletedinuse: 41
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    152779
% 38.74/39.15  Kept:         36176
% 38.74/39.15  Inuse:        805
% 38.74/39.15  Deleted:      400
% 38.74/39.15  Deletedinuse: 41
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    161528
% 38.74/39.15  Kept:         38230
% 38.74/39.15  Inuse:        851
% 38.74/39.15  Deleted:      400
% 38.74/39.15  Deletedinuse: 41
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  
% 38.74/39.15  Intermediate Status:
% 38.74/39.15  Generated:    167511
% 38.74/39.15  Kept:         40275
% 38.74/39.15  Inuse:        870
% 38.74/39.15  Deleted:      400
% 38.74/39.15  Deletedinuse: 41
% 38.74/39.15  
% 38.74/39.15  Resimplifying clauses:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 38.74/39.15  
% 38.74/39.15  Resimplifying inuse:
% 38.74/39.15  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    177706
% 124.61/125.00  Kept:         42319
% 124.61/125.00  Inuse:        915
% 124.61/125.00  Deleted:      1082
% 124.61/125.00  Deletedinuse: 42
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    183856
% 124.61/125.00  Kept:         44390
% 124.61/125.00  Inuse:        940
% 124.61/125.00  Deleted:      1082
% 124.61/125.00  Deletedinuse: 42
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    194205
% 124.61/125.00  Kept:         46761
% 124.61/125.00  Inuse:        980
% 124.61/125.00  Deleted:      1083
% 124.61/125.00  Deletedinuse: 43
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    200209
% 124.61/125.00  Kept:         48780
% 124.61/125.00  Inuse:        1000
% 124.61/125.00  Deleted:      1083
% 124.61/125.00  Deletedinuse: 43
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    207092
% 124.61/125.00  Kept:         50893
% 124.61/125.00  Inuse:        1024
% 124.61/125.00  Deleted:      1083
% 124.61/125.00  Deletedinuse: 43
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    214413
% 124.61/125.00  Kept:         52919
% 124.61/125.00  Inuse:        1050
% 124.61/125.00  Deleted:      1083
% 124.61/125.00  Deletedinuse: 43
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    225133
% 124.61/125.00  Kept:         55103
% 124.61/125.00  Inuse:        1099
% 124.61/125.00  Deleted:      1086
% 124.61/125.00  Deletedinuse: 45
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    232992
% 124.61/125.00  Kept:         57175
% 124.61/125.00  Inuse:        1139
% 124.61/125.00  Deleted:      1086
% 124.61/125.00  Deletedinuse: 45
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    243139
% 124.61/125.00  Kept:         59559
% 124.61/125.00  Inuse:        1179
% 124.61/125.00  Deleted:      1087
% 124.61/125.00  Deletedinuse: 46
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying clauses:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    253729
% 124.61/125.00  Kept:         61648
% 124.61/125.00  Inuse:        1224
% 124.61/125.00  Deleted:      2084
% 124.61/125.00  Deletedinuse: 47
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    276788
% 124.61/125.00  Kept:         65217
% 124.61/125.00  Inuse:        1247
% 124.61/125.00  Deleted:      2086
% 124.61/125.00  Deletedinuse: 47
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    294377
% 124.61/125.00  Kept:         69866
% 124.61/125.00  Inuse:        1257
% 124.61/125.00  Deleted:      2088
% 124.61/125.00  Deletedinuse: 49
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    302763
% 124.61/125.00  Kept:         72087
% 124.61/125.00  Inuse:        1282
% 124.61/125.00  Deleted:      2089
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    322186
% 124.61/125.00  Kept:         77196
% 124.61/125.00  Inuse:        1292
% 124.61/125.00  Deleted:      2089
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    339954
% 124.61/125.00  Kept:         81362
% 124.61/125.00  Inuse:        1297
% 124.61/125.00  Deleted:      2089
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying clauses:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    358491
% 124.61/125.00  Kept:         85716
% 124.61/125.00  Inuse:        1302
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    375855
% 124.61/125.00  Kept:         88218
% 124.61/125.00  Inuse:        1307
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    382715
% 124.61/125.00  Kept:         90277
% 124.61/125.00  Inuse:        1320
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    402234
% 124.61/125.00  Kept:         93940
% 124.61/125.00  Inuse:        1327
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    409039
% 124.61/125.00  Kept:         96375
% 124.61/125.00  Inuse:        1337
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    414891
% 124.61/125.00  Kept:         98609
% 124.61/125.00  Inuse:        1347
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    420354
% 124.61/125.00  Kept:         100628
% 124.61/125.00  Inuse:        1356
% 124.61/125.00  Deleted:      2209
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying clauses:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    425430
% 124.61/125.00  Kept:         102737
% 124.61/125.00  Inuse:        1364
% 124.61/125.00  Deleted:      2323
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 124.61/125.00  Generated:    445956
% 124.61/125.00  Kept:         106136
% 124.61/125.00  Inuse:        1372
% 124.61/125.00  Deleted:      2323
% 124.61/125.00  Deletedinuse: 50
% 124.61/125.00  
% 124.61/125.00  Resimplifying inuse:
% 124.61/125.00  Done
% 124.61/125.00  
% 124.61/125.00  
% 124.61/125.00  Intermediate Status:
% 243.79/244.20  Generated:    463573
% 243.79/244.20  Kept:         108380
% 243.79/244.20  Inuse:        1377
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    481244
% 243.79/244.20  Kept:         110419
% 243.79/244.20  Inuse:        1382
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    499045
% 243.79/244.20  Kept:         112465
% 243.79/244.20  Inuse:        1387
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    511601
% 243.79/244.20  Kept:         114515
% 243.79/244.20  Inuse:        1413
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    520766
% 243.79/244.20  Kept:         116523
% 243.79/244.20  Inuse:        1428
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    531670
% 243.79/244.20  Kept:         118550
% 243.79/244.20  Inuse:        1445
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    541042
% 243.79/244.20  Kept:         120608
% 243.79/244.20  Inuse:        1458
% 243.79/244.20  Deleted:      2323
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying clauses:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    550428
% 243.79/244.20  Kept:         122609
% 243.79/244.20  Inuse:        1471
% 243.79/244.20  Deleted:      2381
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    574038
% 243.79/244.20  Kept:         128384
% 243.79/244.20  Inuse:        1477
% 243.79/244.20  Deleted:      2381
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    580612
% 243.79/244.20  Kept:         130508
% 243.79/244.20  Inuse:        1486
% 243.79/244.20  Deleted:      2381
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    586420
% 243.79/244.20  Kept:         132640
% 243.79/244.20  Inuse:        1493
% 243.79/244.20  Deleted:      2381
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    591975
% 243.79/244.20  Kept:         135050
% 243.79/244.20  Inuse:        1500
% 243.79/244.20  Deleted:      2381
% 243.79/244.20  Deletedinuse: 50
% 243.79/244.20  
% 243.79/244.20  Resimplifying inuse:
% 243.79/244.20  Done
% 243.79/244.20  
% 243.79/244.20  
% 243.79/244.20  Intermediate Status:
% 243.79/244.20  Generated:    603192
% 243.79/244.20  Kept:         138786
% 243.79/244.21  Inuse:        1502
% 243.79/244.21  Deleted:      2381
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    614935
% 243.79/244.21  Kept:         141259
% 243.79/244.21  Inuse:        1522
% 243.79/244.21  Deleted:      2381
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying clauses:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    623499
% 243.79/244.21  Kept:         143292
% 243.79/244.21  Inuse:        1535
% 243.79/244.21  Deleted:      2514
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    633146
% 243.79/244.21  Kept:         145966
% 243.79/244.21  Inuse:        1547
% 243.79/244.21  Deleted:      2514
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    643060
% 243.79/244.21  Kept:         148090
% 243.79/244.21  Inuse:        1563
% 243.79/244.21  Deleted:      2514
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    651704
% 243.79/244.21  Kept:         150096
% 243.79/244.21  Inuse:        1577
% 243.79/244.21  Deleted:      2514
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    672043
% 243.79/244.21  Kept:         152115
% 243.79/244.21  Inuse:        1586
% 243.79/244.21  Deleted:      2514
% 243.79/244.21  Deletedinuse: 50
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    680849
% 243.79/244.21  Kept:         154121
% 243.79/244.21  Inuse:        1616
% 243.79/244.21  Deleted:      2527
% 243.79/244.21  Deletedinuse: 63
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    699035
% 243.79/244.21  Kept:         158120
% 243.79/244.21  Inuse:        1647
% 243.79/244.21  Deleted:      2532
% 243.79/244.21  Deletedinuse: 68
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    719878
% 243.79/244.21  Kept:         163145
% 243.79/244.21  Inuse:        1656
% 243.79/244.21  Deleted:      2535
% 243.79/244.21  Deletedinuse: 70
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying clauses:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    728939
% 243.79/244.21  Kept:         165267
% 243.79/244.21  Inuse:        1688
% 243.79/244.21  Deleted:      3267
% 243.79/244.21  Deletedinuse: 78
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  Intermediate Status:
% 243.79/244.21  Generated:    736821
% 243.79/244.21  Kept:         167335
% 243.79/244.21  Inuse:        1709
% 243.79/244.21  Deleted:      3277
% 243.79/244.21  Deletedinuse: 84
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  Resimplifying inuse:
% 243.79/244.21  Done
% 243.79/244.21  
% 243.79/244.21  
% 243.79/244.21  IntermediaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------