TSTP Solution File: SWV655-1 by Bliksem---1.12

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV655-1 : 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 16:27:31 EDT 2022

% Result   : Timeout 300.08s 300.55s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV655-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Wed Jun 15 19:02:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.18/1.59  *** allocated 10000 integers for termspace/termends
% 1.18/1.59  *** allocated 10000 integers for clauses
% 1.18/1.59  *** allocated 10000 integers for justifications
% 1.18/1.59  *** allocated 15000 integers for termspace/termends
% 1.18/1.59  *** allocated 22500 integers for termspace/termends
% 1.18/1.59  *** allocated 33750 integers for termspace/termends
% 1.18/1.59  *** allocated 50625 integers for termspace/termends
% 1.18/1.59  Bliksem 1.12
% 1.18/1.59  
% 1.18/1.59  
% 1.18/1.59  Automatic Strategy Selection
% 1.18/1.59  
% 1.18/1.59  Clauses:
% 1.18/1.59  [
% 1.18/1.59     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), 
% 1.18/1.59    'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.18/1.59    ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.18/1.59    V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.18/1.59    V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ), 
% 1.18/1.59    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.18/1.59    , V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ), 
% 1.18/1.59    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.18/1.59    , V0, V1 ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.18/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.18/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.18/1.59     ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~( 
% 1.18/1.59    'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~( 
% 1.18/1.59    'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.18/1.59    , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.18/1.59     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), Y ), T ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.18/1.59    Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.18/1.59     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.59     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.59     ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.59     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.59    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ) ],
% 1.18/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.18/1.59    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.18/1.59     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.18/1.59    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.18/1.59    ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.59    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ), 
% 1.18/1.59    ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.18/1.59    , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.18/1.59    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.59    Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.18/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.18/1.59    , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.18/1.59    , ~( 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.18/1.59    X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 1.18/1.59    , X, X, 'tc_nat' ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.18/1.59     ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.18/1.59     ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.18/1.59    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.59    'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, 
% 1.18/1.59    X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.18/1.59     ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.18/1.59    , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 
% 1.18/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.18/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.18/1.59     ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.18/1.59     ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.18/1.59    , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), T ), Z ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.59     ), Y ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z, 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'( 
% 1.18/1.59    Z, T, X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ), 
% 1.18/1.59    ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T )
% 1.18/1.59    , X, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59    , Y ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.59    X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.18/1.59    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.18/1.59    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.18/1.59    Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.18/1.59     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.18/1.59    Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.18/1.59    , Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.18/1.59     ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.18/1.59     ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.18/1.59    , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.59     ), X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.18/1.59    X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ), 
% 1.18/1.59    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, 
% 1.18/1.59    X, Z ), T, Z, X ) ) ],
% 1.18/1.59     [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.59     ) ],
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.18/1.59    , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.59     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ), 
% 1.18/1.59    ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T, 
% 1.18/1.59    U, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.18/1.59     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.59    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'tc_nat' ), 
% 1.18/1.59    'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.18/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.18/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U, 
% 1.18/1.59    X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.18/1.59    , ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.18/1.59     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    X ), Y ), Z ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.18/1.59     ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    Y ), T, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.59    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~( 
% 1.18/1.59    'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.18/1.59     ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.59    'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( 
% 1.18/1.59    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.18/1.59    , Z, X ), ~( 'c_SEQ_OZseq'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z
% 1.18/1.59    , 'tc_nat', X, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.18/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.59     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.59     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.59     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.59     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.18/1.59    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.59    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.59    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.18/1.59    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.18/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.18/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.18/1.59    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.18/1.59    , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP( 
% 1.18/1.59    hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.18/1.59    , V0, U, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP( 
% 1.18/1.59    hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.18/1.59    , V0, U, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ), 
% 1.18/1.59    Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    X, T, U, Y, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    X, T, U, Z, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.18/1.59    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, Y, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, Z, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, W, Y, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, W, Z, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.18/1.59    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.18/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.18/1.59    , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ), 
% 1.18/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.18/1.59    , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ), 
% 1.18/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.18/1.59    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.18/1.59    W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.18/1.59    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.18/1.59    W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.18/1.59    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.18/1.59    ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.18/1.59    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.18/1.59    W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.18/1.59    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.18/1.59    W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    X, T, U, Y, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, Y, W, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.18/1.59    T, X, U, W, Y, V0 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.18/1.59    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.18/1.59    , V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP( 
% 1.18/1.59    hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.18/1.59    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.18/1.59    'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.18/1.59    'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.18/1.59    , Y, X, X, X ), Z, X ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.18/1.59    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.59    Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.18/1.59    Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.18/1.59    X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.18/1.59     ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.18/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.18/1.59    , X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.18/1.59    Z, X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( Y ), Z, Y, Y, X ), T, X, Y ), 
% 1.18/1.59    ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.18/1.59    , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.18/1.59     ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.59     ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Y ) ), Z ), X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.18/1.59    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.18/1.59     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.59    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.59    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.59    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 
% 1.18/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ), 
% 1.18/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 
% 1.18/1.59    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.59    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ), =( 'c_Finite__Set_Osetsum'( Y, 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ), 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.18/1.59    'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.59    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.59    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.18/1.59    , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.59    X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y, 
% 1.18/1.59    'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.18/1.59    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    X ), T ), Y ) ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 
% 1.18/1.59    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.59    , 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.59    X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.59    Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.59    , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Y ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Y ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Y ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.18/1.59    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.59     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.59    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.59    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.59    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.18/1.59    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.18/1.59    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.18/1.59    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.18/1.59    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.18/1.59    , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.18/1.59    , 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.18/1.59     ) ), 'c_Finite__Set_Osetsum'( Y, 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U, 
% 1.18/1.59    X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.18/1.59    , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( 'c_COMBB'( T, 
% 1.18/1.59    U, Z, Y, X ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U, W ), Z, Y ) ), 
% 1.18/1.59    ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.18/1.59    'c_Deriv_Odifferentiable'( 'c_COMBB'( Y, Z, X, X, X ), T, X ), ~( 
% 1.18/1.59    'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y, 
% 1.18/1.59    hAPP( Z, T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z, 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.18/1.59    , T, hAPP( Z, T ), X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.18/1.59     ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.18/1.59    Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y, 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.59    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.18/1.59    , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.18/1.59     ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ), 
% 1.18/1.59    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.18/1.59     ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.18/1.59    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 
% 1.18/1.59    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 
% 1.18/1.59    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.59    hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), 
% 1.18/1.59    'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.18/1.59     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.59    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.18/1.59    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), T ), 'c_Finite__Set_Osetsum'( Y, 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), X ), ~( 'c_Series_Osums'( Y, 
% 1.18/1.59    T, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.59    X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.59    X ), Y ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.18/1.59     ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.59    , Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.59    , Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.59    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.18/1.59    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.18/1.59    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.59    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.18/1.59    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.18/1.59     ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.18/1.59     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin', 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.18/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.59    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.18/1.59    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.18/1.59    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.18/1.59    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.18/1.59    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.59     [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL( 
% 1.18/1.59    hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.59     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.18/1.59    , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.18/1.59    , X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, 
% 1.18/1.59    X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.18/1.59    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.18/1.59    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.59     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.18/1.59    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.59    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.18/1.59    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.18/1.59     ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.59    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.18/1.59    Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.18/1.59    X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.18/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.18/1.59    , T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.59    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.18/1.59     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.18/1.59    , X ) ],
% 1.18/1.59     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin', 
% 1.18/1.59    'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.18/1.59    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.59     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'tc_Int_Oint' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'tc_Int_Oint' ), Z ), Y ), 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    X, Z, 'tc_Int_Oint' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.18/1.60     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.18/1.60     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.18/1.60     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.18/1.60     ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.18/1.60     ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Z ), U ) ), W ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.18/1.60     ), W, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Z ), T ) ), W ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.18/1.60     ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.18/1.60     ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.60     ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.60     ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.18/1.60    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.60     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 1.18/1.60    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.60     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 1.18/1.60    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.60     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.60     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.60     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.60     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.60     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.18/1.60     ), Y ) ), Z ) ), Z ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.18/1.60    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X ), Y ), Z ) ), Z ), Y ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.18/1.60    Y ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), Y ), Z ) ), Z ), Y ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) )
% 1.18/1.60    , T ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~( 
% 1.18/1.60    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~( 
% 1.18/1.60    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.18/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.60    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.18/1.60    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.60     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.18/1.60     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.18/1.60    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ), 
% 1.18/1.60    ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.18/1.60     ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X ), Y ), Z ) ), T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.60    Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.18/1.60    Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.18/1.60    'c_lessequals'( Z, Y, X ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.60    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.18/1.60    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ), 
% 1.18/1.60    Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.60    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.60    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.18/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.18/1.60    'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.18/1.60    , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.18/1.60    , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.18/1.60     ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.18/1.60    , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.60    Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T, 
% 1.18/1.60    U, W, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.18/1.60    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.18/1.60    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), T ), Z ) ), U ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.18/1.60     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.18/1.60     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ), T ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.60    , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'( 
% 1.18/1.60    'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, X, X ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'( 
% 1.18/1.60    'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.60    , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.60    , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.18/1.60    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.18/1.60    , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.60     ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.18/1.60     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.60     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.18/1.60     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), Y ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.18/1.60    Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.60     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.18/1.60    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.60     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.18/1.60    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.60     ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.60    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.18/1.60     ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ), X ) ) ],
% 1.18/1.60     [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.18/1.60     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.18/1.60     [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.18/1.60     [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.18/1.60     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.18/1.60    'c_Int_OPls' ), X ), X ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), 
% 1.18/1.60    'c_Int_OPls' ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.18/1.60    =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.60     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.60    X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.18/1.60     [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.18/1.60    'c_Int_OBit0'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( 'c_Int_OBit0'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_Int_Oint' ), X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.60     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.60    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.60    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.18/1.60    , T ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( 
% 1.18/1.60    'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( 
% 1.18/1.60    'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, X, X )
% 1.18/1.60     ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.18/1.60    'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.18/1.60    'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.18/1.60    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.60     ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.60     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.60     ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.18/1.60    'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.18/1.60    'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.18/1.60    'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.18/1.60     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.18/1.60    , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.18/1.60    'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.18/1.60     [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.18/1.60     ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.18/1.60    , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.18/1.60    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.18/1.60    T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~( 
% 1.18/1.60    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.18/1.60    , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.18/1.60    , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.18/1.60     ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.18/1.60     ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X, 
% 1.18/1.60    X ), Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.18/1.60     ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X, 
% 1.18/1.60    X ), Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.18/1.60     ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ) ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.60    , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.60     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.18/1.60    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.60    hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.18/1.60     ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ), 
% 1.18/1.60    Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.18/1.60     ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.18/1.60     ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, 
% 1.18/1.60    X, X ), Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.18/1.60     ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, 
% 1.18/1.60    X, X ), Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), X ) ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.18/1.60    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.60     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.18/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.18/1.60    , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.18/1.60    , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.18/1.60    'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.18/1.60    'c_Suc', Y ) ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, 
% 1.18/1.60    T, X ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.18/1.60    , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.18/1.60    'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.18/1.60    , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), Y ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 
% 1.18/1.60    'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), X ), Y ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) )
% 1.18/1.60     ],
% 1.18/1.60     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ), 
% 1.18/1.60    ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.18/1.60     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 
% 1.18/1.60    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y, 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.18/1.60    Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ), 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 
% 1.18/1.60    'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.18/1.60    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.60    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.18/1.60    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.18/1.60    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'( 
% 1.18/1.60    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.18/1.60    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.60     ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.18/1.60     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.18/1.60     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.18/1.60     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.18/1.60    , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( 
% 1.18/1.60    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, 
% 1.18/1.60    T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OCauchy'( Y, X )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.18/1.60    'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.18/1.60    'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.18/1.60    , T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.18/1.60    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.18/1.60    , T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.18/1.60    , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ), 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.18/1.60    , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.18/1.60    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( 
% 1.18/1.60    Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.18/1.60    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( 
% 1.18/1.60    Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.18/1.60    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.18/1.60    'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.18/1.60    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( 
% 1.18/1.60    Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.18/1.60    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.18/1.60    , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.18/1.60    , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.18/1.60    'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'( 
% 1.18/1.60    Y ) ), 'c_Lim_OisCont'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y ), Z, Y, 'tc_fun'( 'tc_nat', Y ), X ), 
% 1.18/1.60    T, X, 'tc_nat', Y ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.18/1.60    , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.18/1.60    , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.18/1.60    , U, W, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.18/1.60    'c_Deriv_Odifferentiable'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ), X ), 
% 1.18/1.60    Z, X, 'tc_nat', X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.18/1.60    'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ), 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.18/1.60    , T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.18/1.60    X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.18/1.60    , 'tc_nat', X, 'tc_nat' ), X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.18/1.60    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), ~( 
% 1.18/1.60    'c_SEQ_OBseq'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.18/1.60     ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.18/1.60    , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.18/1.60    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~( 
% 1.18/1.60    'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.18/1.60     ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP( 
% 1.18/1.60    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP( 
% 1.18/1.60    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.18/1.60    Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.18/1.60    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.18/1.60    'tc_nat' ), 'tc_nat', X, 'tc_nat' ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.18/1.60    , X, Z, U, W, V0 ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.18/1.60    'tc_Int_Oint' ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_Int_OPls'
% 1.18/1.60     ) ), Y ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.18/1.60     ) ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.60    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.60    X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.18/1.60     [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.18/1.60     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.60    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP( 
% 1.18/1.60    hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.18/1.60    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.18/1.60     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.18/1.60     ) ), 'c_Complex_Oii' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.60    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.61    X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.18/1.61    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.61    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.18/1.61    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.61    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), 
% 1.18/1.61    'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.18/1.61     ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'( 
% 1.18/1.61    X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.18/1.61    'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.18/1.61    , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.18/1.61    , Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.18/1.61    , Y ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.18/1.61    , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.61    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), 
% 1.18/1.61    'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_nat' ), Y ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'( 
% 1.18/1.61    X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.18/1.61    Y ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), Y ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.18/1.61    , Z ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.18/1.61    , Z ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.18/1.61     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.18/1.61     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.61     ) ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.18/1.61    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.18/1.61     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.61     ), Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.18/1.61    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.18/1.61     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.18/1.61    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.61    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.18/1.61     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.18/1.61     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.61     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.61    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.18/1.61    'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OPls', X ) ), Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.18/1.61    , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.18/1.61    , Y ) ],
% 1.18/1.61     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.18/1.61    Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.61    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.61     ) ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.18/1.61    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.18/1.61    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.18/1.61     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.18/1.61    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.61    , X ) ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.18/1.61     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.18/1.61     ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    'tc_nat' ), X ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.18/1.61    , Y ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.18/1.61     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.18/1.61     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_FFT__Mirabelle_OIDFT'( hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'v_a', 'v_i' ), hAPP( hAPP( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), 
% 1.18/1.61    'c_FFT__Mirabelle_OIDFT'( 'v_m', 'c_COMBB'( 'v_a', hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.18/1.61     ), 'v_i' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.18/1.61     ) ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.18/1.61    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ) ), 'v_i' ) ), 
% 1.18/1.61    'c_FFT__Mirabelle_OIDFT'( 'v_m', 'c_COMBB'( 'v_a', 'c_COMBC'( 'c_COMBB'( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.18/1.61    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.18/1.61    'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'v_i' ) ) ) ) )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Orderings_Opreorder'( Y ) ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Orderings_Oorder'( Y ) ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.18/1.61     ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.21/1.61    'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.21/1.61     ],
% 1.21/1.61     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.21/1.61     ],
% 1.21/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.21/1.61     ],
% 1.21/1.61     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.21/1.61     ],
% 1.21/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.21/1.61     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.21/1.61    ,
% 1.21/1.61     [ 'c_fequal'( X, X, Y ) ],
% 1.21/1.61     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.21/1.61  ] .
% 1.21/1.61  
% 1.21/1.61  
% 1.21/1.61  percentage equality = 0.224023, percentage horn = 0.861352
% 1.21/1.61  This is a problem with some equality
% 1.21/1.61  
% 1.21/1.61  
% 1.21/1.61  
% 1.21/1.61  Options Used:
% 1.21/1.61  
% 1.21/1.61  useres =            1
% 1.21/1.61  useparamod =        1
% 1.21/1.61  useeqrefl =         1
% 1.21/1.61  useeqfact =         1
% 1.21/1.61  usefactor =         1
% 1.21/1.61  usesimpsplitting =  0
% 1.21/1.61  usesimpdemod =      5
% 1.21/1.61  usesimpres =        3
% 1.21/1.61  
% 1.21/1.61  resimpinuse      =  1000
% 1.21/1.61  resimpclauses =     20000
% 1.21/1.61  substype =          eqrewr
% 1.21/1.61  backwardsubs =      1
% 1.21/1.61  selectoldest =      5
% 1.21/1.61  
% 1.21/1.61  litorderings [0] =  split
% 1.21/1.61  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.21/1.61  
% 1.21/1.61  termordering =      kbo
% 1.21/1.61  
% 1.21/1.61  litapriori =        0
% 1.21/1.61  termapriori =       1
% 1.21/1.61  litaposteriori =    0
% 1.21/1.61  termaposteriori =   0
% 1.21/1.61  demodaposteriori =  0
% 1.21/1.61  ordereqreflfact =   0
% 1.21/1.61  
% 1.21/1.61  litselect =         negord
% 1.21/1.61  
% 1.21/1.61  maxweight =         15
% 1.21/1.61  maxdepth =          30000
% 1.21/1.61  maxlength =         115
% 1.21/1.61  maxnrvars =         195
% 1.21/1.61  excuselevel =       1
% 1.21/1.61  increasemaxweight = 1
% 1.21/1.61  
% 1.21/1.61  maxselected =       10000000
% 1.21/1.61  maxnrclauses =      10000000
% 1.21/1.61  
% 1.21/1.61  showgenerated =    0
% 1.21/1.61  showkept =         0
% 1.21/1.61  showselected =     0
% 1.21/1.61  showdeleted =      0
% 1.21/1.61  showresimp =       1
% 1.21/1.61  showstatus =       2000
% 1.21/1.61  
% 1.21/1.61  prologoutput =     1
% 1.21/1.61  nrgoals =          5000000
% 1.21/1.61  totalproof =       1
% 1.21/1.61  
% 1.21/1.61  Symbols occurring in the translation:
% 1.21/1.61  
% 1.21/1.61  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.21/1.61  .  [1, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 1.21/1.61  !  [4, 1]      (w:0, o:80, a:1, s:1, b:0), 
% 1.21/1.61  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.21/1.61  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.21/1.61  'c_Suc'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 1.21/1.61  hAPP  [41, 2]      (w:1, o:189, a:1, s:1, b:0), 
% 1.21/1.61  'tc_nat'  [42, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.21/1.61  'c_Fact_Ofact__class_Ofact'  [43, 2]      (w:1, o:190, a:1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Otimes__class_Otimes'  [44, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 1.21/1.61  'class_OrderedGroup_Olordered__ab__group__add'  [46, 1]      (w:1, o:86, a:
% 1.21/1.61    1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Ouminus__class_Ouminus'  [48, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 1.21/1.61  'c_lessequals'  [50, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Oplus__class_Oplus'  [51, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Ozero__class_Ozero'  [52, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 1.21/1.61  'c_Groebner__Basis_Ogb__semiring'  [59, 6]      (w:1, o:214, a:1, s:1, b:0)
% 1.21/1.61    , 
% 1.21/1.61  'class_Ring__and__Field_Opordered__ring__abs'  [61, 1]      (w:1, o:103, a:
% 1.21/1.61    1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Oabs__class_Oabs'  [62, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Oordered__idom'  [63, 1]      (w:1, o:96, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'c_Power_Opower__class_Opower'  [64, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 1.21/1.61  'c_Parity_Oeven__odd__class_Oeven'  [66, 2]      (w:1, o:191, a:1, s:1, b:0
% 1.21/1.61    ), 
% 1.21/1.61  'class_OrderedGroup_Opordered__ab__group__add__abs'  [67, 1]      (w:1, o:
% 1.21/1.61    107, a:1, s:1, b:0), 
% 1.21/1.61  'c_HOL_Oord__class_Oless'  [68, 3]      (w:1, o:199, a:1, s:1, b:0), 
% 1.21/1.61  'class_Orderings_Olinorder'  [69, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 1.21/1.61  'class_Orderings_Oorder'  [70, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 1.21/1.61  'class_RealVector_Ometric__space'  [72, 1]      (w:1, o:110, a:1, s:1, b:0)
% 1.21/1.61    , 
% 1.21/1.61  'class_RealVector_Oreal__normed__algebra__1'  [73, 1]      (w:1, o:111, a:1
% 1.21/1.61    , s:1, b:0), 
% 1.21/1.61  'c_Lim_OLIM'  [77, 5]      (w:1, o:211, a:1, s:1, b:0), 
% 1.21/1.61  'tc_Int_Oint'  [78, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 1.21/1.61  'c_SEQ_OLIMSEQ'  [80, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 1.21/1.61  'class_Lattices_Oboolean__algebra'  [81, 1]      (w:1, o:112, a:1, s:1, b:0
% 1.21/1.61    ), 
% 1.21/1.61  'class_OrderedGroup_Ogroup__add'  [82, 1]      (w:1, o:113, a:1, s:1, b:0)
% 1.21/1.61    , 
% 1.21/1.61  'class_OrderedGroup_Olordered__ab__group__add__abs'  [83, 1]      (w:1, o:
% 1.21/1.61    114, a:1, s:1, b:0), 
% 1.21/1.61  'class_RealVector_Oreal__normed__vector'  [85, 1]      (w:1, o:115, a:1, s:
% 1.21/1.61    1, b:0), 
% 1.21/1.61  'c_COMBB'  [86, 5]      (w:1, o:212, a:1, s:1, b:0), 
% 1.21/1.61  'c_SEQ_OZseq'  [87, 2]      (w:1, o:192, a:1, s:1, b:0), 
% 1.21/1.61  'class_Divides_Osemiring__div'  [88, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.21/1.61  'c_Divides_Odiv__class_Odiv'  [89, 3]      (w:1, o:201, a:1, s:1, b:0), 
% 1.21/1.61  'class_OrderedGroup_Opordered__comm__monoid__add'  [90, 1]      (w:1, o:117
% 1.21/1.61    , a:1, s:1, b:0), 
% 1.21/1.61  'class_OrderedGroup_Opordered__ab__group__add'  [91, 1]      (w:1, o:118
% 1.21/1.61    , a:1, s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Oordered__field'  [92, 1]      (w:1, o:97, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'class_Ring__and__Field_Odivision__by__zero'  [93, 1]      (w:1, o:122, a:1
% 1.21/1.61    , s:1, b:0), 
% 1.21/1.61  'c_HOL_Oinverse__class_Odivide'  [94, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.21/1.61    
% 1.21/1.61  'class_Int_Onumber'  [95, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 1.21/1.61  'c_Int_Onumber__class_Onumber__of'  [97, 2]      (w:1, o:193, a:1, s:1, b:0
% 1.21/1.61    ), 
% 1.21/1.61  'class_Ring__and__Field_Ozero__neq__one'  [98, 1]      (w:1, o:125, a:1, s:
% 1.21/1.61    1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Ono__zero__divisors'  [99, 1]      (w:1, o:95, a:1
% 1.21/1.61    , s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Omult__zero'  [100, 1]      (w:1, o:92, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'class_Power_Opower'  [101, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Osemiring__0'  [102, 1]      (w:1, o:145, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'class_Ring__and__Field_Oordered__ring__strict'  [104, 1]      (w:1, o:98
% 1.21/1.61    , a:1, s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Oordered__semiring__strict'  [105, 1]      (w:1, o:
% 1.21/1.61    99, a:1, s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Oordered__semidom'  [106, 1]      (w:1, o:100, a:1
% 1.21/1.61    , s:1, b:0), 
% 1.21/1.61  'class_Ring__and__Field_Omult__mono1'  [107, 1]      (w:1, o:93, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'class_Ring__and__Field_Omult__mono'  [108, 1]      (w:1, o:94, a:1, s:1
% 1.21/1.61    , b:0), 
% 1.21/1.61  'class_Ring__and__Field_Opordered__ring'  [109, 1]      (w:1, o:146, a:1
% 1.21/1.61    , s:1, b:0), 
% 1.21/1.61  'c_HOL_Ominus__class_Ominus'  [111, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 1.21/1.61  'tc_fun'  [112, 2]      (w:1, o:194, a:1, s:1, b:0), 
% 1.21/1.61  'c_COMBC'  [113, 5]      (w:1, o:213, a:1, s:1, b:0), 
% 1.21/1.61  'c_SEQ_OBseq'  [115, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Opordered__cancel__semiring'  [118, 1]      (w:1
% 4.96/5.33    , o:148, a:1, s:1, b:0), 
% 4.96/5.33  'c_Series_Osummable'  [119, 2]      (w:1, o:196, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Oordered__ab__group__add'  [121, 1]      (w:1, o:106
% 4.96/5.33    , a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Opordered__semiring'  [122, 1]      (w:1, o:149, a:
% 4.96/5.33    1, s:1, b:0), 
% 4.96/5.33  'c_Lim_OisCont'  [125, 4]      (w:1, o:208, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Oab__group__add'  [126, 1]      (w:1, o:126, a:1, s:1
% 4.96/5.33    , b:0), 
% 4.96/5.33  'class_Ring__and__Field_Oidom'  [127, 1]      (w:1, o:150, a:1, s:1, b:0), 
% 4.96/5.33    
% 4.96/5.33  'class_Int_Onumber__ring'  [128, 1]      (w:1, o:151, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Oabs__if'  [129, 1]      (w:1, o:152, a:1, s:1, b:0
% 4.96/5.33    ), 
% 4.96/5.33  'class_Ring__and__Field_Oordered__semiring'  [130, 1]      (w:1, o:101, a:1
% 4.96/5.33    , s:1, b:0), 
% 4.96/5.33  'c_Int_OPls'  [131, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [132, 1]      
% 4.96/5.33    (w:1, o:127, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Ocomm__monoid__add'  [133, 1]      (w:1, o:128, a:1, s:
% 4.96/5.33    1, b:0), 
% 4.96/5.33  'c_SEQ_OCauchy'  [134, 2]      (w:1, o:197, a:1, s:1, b:0), 
% 4.96/5.33  'c_Finite__Set_Osetsum'  [136, 4]      (w:1, o:209, a:1, s:1, b:0), 
% 4.96/5.33  'c_Fun_Oinj__on'  [138, 4]      (w:1, o:210, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Olordered__ring'  [140, 1]      (w:1, o:91, a:1, s:
% 4.96/5.33    1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Ofield'  [143, 1]      (w:1, o:153, a:1, s:1, b:0)
% 4.96/5.33    , 
% 4.96/5.33  'class_Orderings_Opreorder'  [144, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 4.96/5.33  'class_RealVector_Oreal__normed__field'  [152, 1]      (w:1, o:154, a:1, s:
% 4.96/5.33    1, b:0), 
% 4.96/5.33  'c_Deriv_Odifferentiable'  [153, 3]      (w:1, o:202, a:1, s:1, b:0), 
% 4.96/5.33  'c_Int_OMin'  [154, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 4.96/5.33  'c_HOL_Oone__class_Oone'  [155, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 4.96/5.33  'c_Series_Osums'  [156, 3]      (w:1, o:203, a:1, s:1, b:0), 
% 4.96/5.33  'c_SetInterval_Oord__class_OatLeastLessThan'  [157, 3]      (w:1, o:204, a:
% 4.96/5.33    1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Omonoid__mult'  [158, 1]      (w:1, o:130, a:1, s:1, b:
% 4.96/5.33    0), 
% 4.96/5.33  'c_Int_OBit1'  [161, 1]      (w:1, o:156, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [162, 1]      
% 4.96/5.33    (w:1, o:102, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [163, 1]      
% 4.96/5.33    (w:1, o:131, a:1, s:1, b:0), 
% 4.96/5.33  'class_RealVector_Oreal__normed__algebra'  [164, 1]      (w:1, o:157, a:1
% 4.96/5.33    , s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Oring'  [165, 1]      (w:1, o:141, a:1, s:1, b:0), 
% 4.96/5.33    
% 4.96/5.33  'class_Ring__and__Field_Oring__no__zero__divisors'  [166, 1]      (w:1, o:
% 4.96/5.33    142, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Ocomm__ring__1'  [167, 1]      (w:1, o:119, a:1, s:
% 4.96/5.33    1, b:0), 
% 4.96/5.33  'c_Int_OBit0'  [168, 1]      (w:1, o:155, a:1, s:1, b:0), 
% 4.96/5.33  hBOOL  [172, 1]      (w:1, o:158, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Ocomm__semiring__1'  [175, 1]      (w:1, o:120, a:1
% 4.96/5.33    , s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Opordered__ab__semigroup__add'  [180, 1]      (w:1, o:
% 4.96/5.33    132, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Omonoid__add'  [181, 1]      (w:1, o:133, a:1, s:1, b:0
% 4.96/5.33    ), 
% 4.96/5.33  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [185, 1]      (w:1
% 4.96/5.33    , o:143, a:1, s:1, b:0), 
% 4.96/5.33  'c_FFT__Mirabelle_Oroot'  [186, 1]      (w:1, o:159, a:1, s:1, b:0), 
% 4.96/5.33  'tc_Complex_Ocomplex'  [187, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 4.96/5.33  'class_RealVector_Oreal__field'  [188, 1]      (w:1, o:160, a:1, s:1, b:0)
% 4.96/5.33    , 
% 4.96/5.33  'class_Ring__and__Field_Oring__1'  [190, 1]      (w:1, o:144, a:1, s:1, b:0
% 4.96/5.33    ), 
% 4.96/5.33  'c_Complex_Oii'  [192, 0]      (w:1, o:71, a:1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Osemiring__1'  [193, 1]      (w:1, o:161, a:1, s:1
% 4.96/5.33    , b:0), 
% 4.96/5.33  'c_FFT__Mirabelle_ODFT'  [194, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [195, 1]      (w:1, o:134
% 4.96/5.33    , a:1, s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Ocancel__semigroup__add'  [196, 1]      (w:1, o:135, a:
% 4.96/5.33    1, s:1, b:0), 
% 4.96/5.33  'class_Ring__and__Field_Osemiring'  [198, 1]      (w:1, o:162, a:1, s:1, b:
% 4.96/5.33    0), 
% 4.96/5.33  'class_Ring__and__Field_Ocomm__semiring'  [199, 1]      (w:1, o:121, a:1
% 4.96/5.33    , s:1, b:0), 
% 4.96/5.33  'class_OrderedGroup_Oab__semigroup__mult'  [200, 1]      (w:1, o:136, a:1
% 17.98/18.37    , s:1, b:0), 
% 17.98/18.37  'class_OrderedGroup_Ocomm__monoid__mult'  [201, 1]      (w:1, o:137, a:1
% 17.98/18.37    , s:1, b:0), 
% 17.98/18.37  'class_OrderedGroup_Oab__semigroup__idem__mult'  [202, 1]      (w:1, o:138
% 17.98/18.37    , a:1, s:1, b:0), 
% 17.98/18.37  'class_OrderedGroup_Oab__semigroup__add'  [203, 1]      (w:1, o:139, a:1
% 17.98/18.37    , s:1, b:0), 
% 17.98/18.37  'class_Int_Oring__char__0'  [206, 1]      (w:1, o:163, a:1, s:1, b:0), 
% 17.98/18.37  'v_m'  [207, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 17.98/18.37  'v_a'  [208, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 17.98/18.37  'v_i'  [209, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 17.98/18.37  'c_FFT__Mirabelle_OIDFT'  [210, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 17.98/18.37  'c_fequal'  [213, 3]      (w:1, o:207, a:1, s:1, b:0).
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Starting Search:
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    4861
% 17.98/18.37  Kept:         2109
% 17.98/18.37  Inuse:        86
% 17.98/18.37  Deleted:      0
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    10000
% 17.98/18.37  Kept:         4115
% 17.98/18.37  Inuse:        148
% 17.98/18.37  Deleted:      1
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    16662
% 17.98/18.37  Kept:         6137
% 17.98/18.37  Inuse:        209
% 17.98/18.37  Deleted:      7
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    24771
% 17.98/18.37  Kept:         8145
% 17.98/18.37  Inuse:        288
% 17.98/18.37  Deleted:      8
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    31882
% 17.98/18.37  Kept:         10226
% 17.98/18.37  Inuse:        347
% 17.98/18.37  Deleted:      9
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    36784
% 17.98/18.37  Kept:         12228
% 17.98/18.37  Inuse:        373
% 17.98/18.37  Deleted:      9
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    43070
% 17.98/18.37  Kept:         14993
% 17.98/18.37  Inuse:        395
% 17.98/18.37  Deleted:      11
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    51306
% 17.98/18.37  Kept:         17408
% 17.98/18.37  Inuse:        454
% 17.98/18.37  Deleted:      12
% 17.98/18.37  Deletedinuse: 0
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    59752
% 17.98/18.37  Kept:         20313
% 17.98/18.37  Inuse:        507
% 17.98/18.37  Deleted:      18
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying clauses:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    70581
% 17.98/18.37  Kept:         22928
% 17.98/18.37  Inuse:        537
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    82152
% 17.98/18.37  Kept:         25040
% 17.98/18.37  Inuse:        572
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    89089
% 17.98/18.37  Kept:         27178
% 17.98/18.37  Inuse:        622
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    98950
% 17.98/18.37  Kept:         29500
% 17.98/18.37  Inuse:        652
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    107370
% 17.98/18.37  Kept:         31677
% 17.98/18.37  Inuse:        712
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    115516
% 17.98/18.37  Kept:         34721
% 17.98/18.37  Inuse:        740
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    124019
% 17.98/18.37  Kept:         36739
% 17.98/18.37  Inuse:        780
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    131644
% 17.98/18.37  Kept:         38863
% 17.98/18.37  Inuse:        822
% 17.98/18.37  Deleted:      363
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying clauses:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    141604
% 17.98/18.37  Kept:         40890
% 17.98/18.37  Inuse:        847
% 17.98/18.37  Deleted:      512
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    149171
% 17.98/18.37  Kept:         42917
% 17.98/18.37  Inuse:        887
% 17.98/18.37  Deleted:      512
% 17.98/18.37  Deletedinuse: 4
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    157094
% 17.98/18.37  Kept:         44963
% 17.98/18.37  Inuse:        911
% 17.98/18.37  Deleted:      513
% 17.98/18.37  Deletedinuse: 5
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  Resimplifying inuse:
% 17.98/18.37  Done
% 17.98/18.37  
% 17.98/18.37  
% 17.98/18.37  Intermediate Status:
% 17.98/18.37  Generated:    166712
% 42.22/42.59  Kept:         46965
% 42.22/42.59  Inuse:        954
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    177042
% 42.22/42.59  Kept:         49388
% 42.22/42.59  Inuse:        997
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    182677
% 42.22/42.59  Kept:         51544
% 42.22/42.59  Inuse:        1012
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    191765
% 42.22/42.59  Kept:         53708
% 42.22/42.59  Inuse:        1047
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    200211
% 42.22/42.59  Kept:         55712
% 42.22/42.59  Inuse:        1071
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    209550
% 42.22/42.59  Kept:         57868
% 42.22/42.59  Inuse:        1092
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    216720
% 42.22/42.59  Kept:         59912
% 42.22/42.59  Inuse:        1117
% 42.22/42.59  Deleted:      513
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying clauses:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    228520
% 42.22/42.59  Kept:         62125
% 42.22/42.59  Inuse:        1162
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    237094
% 42.22/42.59  Kept:         64434
% 42.22/42.59  Inuse:        1177
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    244969
% 42.22/42.59  Kept:         66437
% 42.22/42.59  Inuse:        1203
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    253434
% 42.22/42.59  Kept:         68663
% 42.22/42.59  Inuse:        1217
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    264660
% 42.22/42.59  Kept:         71512
% 42.22/42.59  Inuse:        1242
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    271640
% 42.22/42.59  Kept:         74123
% 42.22/42.59  Inuse:        1250
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    278673
% 42.22/42.59  Kept:         76354
% 42.22/42.59  Inuse:        1282
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    286093
% 42.22/42.59  Kept:         78372
% 42.22/42.59  Inuse:        1312
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    301156
% 42.22/42.59  Kept:         80652
% 42.22/42.59  Inuse:        1337
% 42.22/42.59  Deleted:      751
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying clauses:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    308902
% 42.22/42.59  Kept:         82728
% 42.22/42.59  Inuse:        1347
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    315163
% 42.22/42.59  Kept:         84903
% 42.22/42.59  Inuse:        1367
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    321716
% 42.22/42.59  Kept:         87006
% 42.22/42.59  Inuse:        1392
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    334829
% 42.22/42.59  Kept:         90552
% 42.22/42.59  Inuse:        1407
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    345292
% 42.22/42.59  Kept:         93321
% 42.22/42.59  Inuse:        1412
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    354538
% 42.22/42.59  Kept:         95416
% 42.22/42.59  Inuse:        1447
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    363914
% 42.22/42.59  Kept:         97417
% 42.22/42.59  Inuse:        1473
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    373834
% 42.22/42.59  Kept:         99517
% 42.22/42.59  Inuse:        1502
% 42.22/42.59  Deleted:      904
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying clauses:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    382657
% 42.22/42.59  Kept:         101614
% 42.22/42.59  Inuse:        1522
% 42.22/42.59  Deleted:      1121
% 42.22/42.59  Deletedinuse: 5
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  Resimplifying inuse:
% 42.22/42.59  Done
% 42.22/42.59  
% 42.22/42.59  
% 42.22/42.59  Intermediate Status:
% 42.22/42.59  Generated:    393813
% 114.99/115.46  Kept:         104684
% 114.99/115.46  Inuse:        1537
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    403368
% 114.99/115.46  Kept:         106697
% 114.99/115.46  Inuse:        1562
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    413646
% 114.99/115.46  Kept:         109204
% 114.99/115.46  Inuse:        1592
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    423125
% 114.99/115.46  Kept:         111539
% 114.99/115.46  Inuse:        1622
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    434587
% 114.99/115.46  Kept:         113541
% 114.99/115.46  Inuse:        1662
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    449536
% 114.99/115.46  Kept:         116923
% 114.99/115.46  Inuse:        1692
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    460582
% 114.99/115.46  Kept:         118931
% 114.99/115.46  Inuse:        1727
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    485314
% 114.99/115.46  Kept:         125368
% 114.99/115.46  Inuse:        1747
% 114.99/115.46  Deleted:      1121
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying clauses:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    497830
% 114.99/115.46  Kept:         128367
% 114.99/115.46  Inuse:        1767
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    506664
% 114.99/115.46  Kept:         130387
% 114.99/115.46  Inuse:        1776
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    515539
% 114.99/115.46  Kept:         132655
% 114.99/115.46  Inuse:        1802
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    525999
% 114.99/115.46  Kept:         135021
% 114.99/115.46  Inuse:        1827
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    534038
% 114.99/115.46  Kept:         137121
% 114.99/115.46  Inuse:        1852
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    544272
% 114.99/115.46  Kept:         139129
% 114.99/115.46  Inuse:        1869
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    551922
% 114.99/115.46  Kept:         141463
% 114.99/115.46  Inuse:        1892
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    561741
% 114.99/115.46  Kept:         143720
% 114.99/115.46  Inuse:        1917
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    569586
% 114.99/115.46  Kept:         145725
% 114.99/115.46  Inuse:        1932
% 114.99/115.46  Deleted:      1329
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying clauses:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    577135
% 114.99/115.46  Kept:         147999
% 114.99/115.46  Inuse:        1963
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    585095
% 114.99/115.46  Kept:         150099
% 114.99/115.46  Inuse:        1983
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    599687
% 114.99/115.46  Kept:         154281
% 114.99/115.46  Inuse:        1998
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    609265
% 114.99/115.46  Kept:         156424
% 114.99/115.46  Inuse:        2023
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    618484
% 114.99/115.46  Kept:         158574
% 114.99/115.46  Inuse:        2048
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    629568
% 114.99/115.46  Kept:         160616
% 114.99/115.46  Inuse:        2078
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    657850
% 114.99/115.46  Kept:         165591
% 114.99/115.46  Inuse:        2093
% 114.99/115.46  Deleted:      1577
% 114.99/115.46  Deletedinuse: 5
% 114.99/115.46  
% 114.99/115.46  Resimplifying inuse:
% 114.99/115.46  Done
% 114.99/115.46  
% 114.99/115.46  
% 114.99/115.46  Intermediate Status:
% 114.99/115.46  Generated:    684023
% 114.99/115.46  Kept:         170057
% 114.99/115.46  Inuse:        2098
% 114.99/115.46  Deleted:      1577
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying clauses:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    723229
% 216.79/217.29  Kept:         176117
% 216.79/217.29  Inuse:        2103
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    730986
% 216.79/217.29  Kept:         178694
% 216.79/217.29  Inuse:        2118
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    737632
% 216.79/217.29  Kept:         181355
% 216.79/217.29  Inuse:        2128
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    752557
% 216.79/217.29  Kept:         185381
% 216.79/217.29  Inuse:        2138
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    764339
% 216.79/217.29  Kept:         188090
% 216.79/217.29  Inuse:        2143
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    772199
% 216.79/217.29  Kept:         190893
% 216.79/217.29  Inuse:        2158
% 216.79/217.29  Deleted:      1844
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying clauses:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    778939
% 216.79/217.29  Kept:         193604
% 216.79/217.29  Inuse:        2168
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    794624
% 216.79/217.29  Kept:         197915
% 216.79/217.29  Inuse:        2178
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    806952
% 216.79/217.29  Kept:         200830
% 216.79/217.29  Inuse:        2183
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    819686
% 216.79/217.29  Kept:         203866
% 216.79/217.29  Inuse:        2188
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    832642
% 216.79/217.29  Kept:         206922
% 216.79/217.29  Inuse:        2193
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    846197
% 216.79/217.29  Kept:         209225
% 216.79/217.29  Inuse:        2218
% 216.79/217.29  Deleted:      1859
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying clauses:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    855717
% 216.79/217.29  Kept:         211242
% 216.79/217.29  Inuse:        2235
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    864268
% 216.79/217.29  Kept:         213494
% 216.79/217.29  Inuse:        2253
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    872388
% 216.79/217.29  Kept:         215510
% 216.79/217.29  Inuse:        2269
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    883241
% 216.79/217.29  Kept:         218008
% 216.79/217.29  Inuse:        2288
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    899318
% 216.79/217.29  Kept:         221965
% 216.79/217.29  Inuse:        2303
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    910943
% 216.79/217.29  Kept:         224745
% 216.79/217.29  Inuse:        2308
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    918984
% 216.79/217.29  Kept:         226987
% 216.79/217.29  Inuse:        2323
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    931274
% 216.79/217.29  Kept:         229812
% 216.79/217.29  Inuse:        2328
% 216.79/217.29  Deleted:      1931
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying clauses:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    941770
% 216.79/217.29  Kept:         231867
% 216.79/217.29  Inuse:        2350
% 216.79/217.29  Deleted:      2355
% 216.79/217.29  Deletedinuse: 5
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    950353
% 216.79/217.29  Kept:         233912
% 216.79/217.29  Inuse:        2368
% 216.79/217.29  Deleted:      2356
% 216.79/217.29  Deletedinuse: 6
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    959579
% 216.79/217.29  Kept:         235942
% 216.79/217.29  Inuse:        2383
% 216.79/217.29  Deleted:      2356
% 216.79/217.29  Deletedinuse: 6
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    982733
% 216.79/217.29  Kept:         240652
% 216.79/217.29  Inuse:        2398
% 216.79/217.29  Deleted:      2356
% 216.79/217.29  Deletedinuse: 6
% 216.79/217.29  
% 216.79/217.29  Resimplifying inuse:
% 216.79/217.29  Done
% 216.79/217.29  
% 216.79/217.29  
% 216.79/217.29  Intermediate Status:
% 216.79/217.29  Generated:    99Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------