Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ALG391-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 : Thu Jul 14 12:10:41 EDT 2022

% Result   : Unsatisfiable 1.43s 1.79s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG391-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jun  7 22:36:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.01/1.38  *** allocated 10000 integers for termspace/termends
% 1.01/1.38  *** allocated 10000 integers for clauses
% 1.01/1.38  *** allocated 10000 integers for justifications
% 1.01/1.38  *** allocated 15000 integers for termspace/termends
% 1.01/1.38  *** allocated 22500 integers for termspace/termends
% 1.01/1.38  *** allocated 33750 integers for termspace/termends
% 1.01/1.38  Bliksem 1.12
% 1.01/1.38  
% 1.01/1.38  
% 1.01/1.38  Automatic Strategy Selection
% 1.01/1.38  
% 1.01/1.38  Clauses:
% 1.01/1.38  [
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.38     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.38     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ), 
% 1.01/1.38    'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.01/1.38    , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 1.01/1.38    Y, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 
% 1.01/1.38    Y, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.38    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ), T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.38    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.38    X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.01/1.38    Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.38    Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.01/1.38    X ), Z, X ) ) ],
% 1.01/1.38     [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.01/1.38     [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.38    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.01/1.38    'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.38    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.38     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.38    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.38     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.38    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.38     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.38    X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.38    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.38    , X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.38    , X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.01/1.38    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.38     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.01/1.38     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_Polynomial_Odegree'( T, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.38     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.38    X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.38    X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.38    , Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.38    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.38    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.38    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.38    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.38    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.38    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.38    'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.38    'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.38    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.38    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.38    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.38    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.38     ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.38     ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.01/1.38    , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.38    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 1.01/1.38    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.38    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~( 
% 1.01/1.38    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.38    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 1.01/1.38    , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.38    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.01/1.38     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 1.01/1.38    Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 1.01/1.38    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 1.01/1.38    X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.38    T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.38    X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.38    T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.38    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.38    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.38    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.01/1.38    'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.01/1.38    'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.01/1.38    T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 1.01/1.38    Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.38     ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.38    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ), 
% 1.01/1.38    Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.01/1.38     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.38     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.38    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, 
% 1.01/1.38    Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.01/1.38    T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.38    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'( 
% 1.01/1.38    X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.38    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 1.01/1.38     ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.38     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.38     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    Y, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ), 
% 1.01/1.38    =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.38    'v_sko__local__Xassms__1'( 'v_p' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.38    'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.38     [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.38     ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.38    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.38    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.38    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.38    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.38    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    Y, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.38     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.38     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.01/1.38    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.01/1.38    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.01/1.38    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.38    , X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.38    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.38    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.01/1.38    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.38     ), =( Z, Y ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.38    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~( 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~( 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~( 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~( 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.38     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.01/1.38    , Y, 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.38    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.38    , X ) ) ), =( Y, Z ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.38    , X ) ) ), =( Y, Z ) ],
% 1.01/1.38     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.38    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.38     ), X ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.01/1.38    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.01/1.38    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.38    , X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.38    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.38     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.01/1.38     ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.38    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.38    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.38    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.38    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.38    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.38     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.38     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ), 
% 1.01/1.38    ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.38    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.01/1.38    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.38     ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.38    , T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.38    , Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.38    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.38    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 1.01/1.38    , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ), 
% 1.01/1.38    'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.38    , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.38    'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.01/1.38    'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.38    , T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.38    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.38    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.38     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.01/1.38     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ), 
% 1.01/1.38    'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.38    'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.38    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.38     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.38    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.38    , X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.38    , X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.38    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.38    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.01/1.38    'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.38    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.38    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.01/1.38    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.01/1.38    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.38    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.38    , X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.38    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Z, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z, 
% 1.01/1.38    X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.01/1.38    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.38    , T, X ), X ), T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.38     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.38     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.38    ,
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.01/1.38    'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.38    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.38     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.38    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.01/1.38    X ) ) ), =( Z, T ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.01/1.38    X ) ) ), =( Z, T ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.01/1.38    X ) ) ), =( Y, T ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.38    'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.38    'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.01/1.38    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.38     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~( 
% 1.01/1.38    'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.01/1.38    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.38    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.38     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.38    'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =( 
% 1.01/1.38    Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.38     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.38     ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.38    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'( 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 1.01/1.38     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.38    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.01/1.38    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.38    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.38    X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.38    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.38    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.38    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.38     [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.38    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.01/1.38    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.38     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.38    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.38     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.01/1.38    W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.39    , X ), W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.01/1.39    W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.39    , X ), T, X ), W, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.01/1.39    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.01/1.39    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.01/1.39     ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.01/1.39     ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 
% 1.01/1.39    Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.01/1.39     ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.39     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.39     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.01/1.39    Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.01/1.39    Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.39     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.39    , X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.39    , X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.39    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.01/1.39    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.39    , Y, X ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , Z, X ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , Z, X ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, 
% 1.01/1.39    X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.01/1.39     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_Polynomial_OpCons'( Y, Z, X ), T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( T, X ), X ), 
% 1.01/1.39    'c_Polynomial_Ocoeff'( T, 'c_Polynomial_Odegree'( T, X ), X ), X ), T, X
% 1.01/1.39     ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.39     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.01/1.39    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.01/1.39     ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ), 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.01/1.39    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_Omonom'( Y, Z, X ), X ), Z, 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.39     ), Y ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Osmult'( T, 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.01/1.39     ), 'c_Polynomial_OpCons'( Y, 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.01/1.39     ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.01/1.39    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.39    , T, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ), =( Z, T ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.01/1.39    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.01/1.39    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.01/1.39    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.01/1.39    , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.39    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.39    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.39    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.39    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.39    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.39    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.39    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 1.01/1.39     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.39    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.01/1.39    'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.01/1.39     ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.01/1.39     ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.01/1.39    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.01/1.39    , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.39     ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.39     ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.01/1.39    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, 
% 1.01/1.39    'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.01/1.39    , X ) ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.01/1.39    , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.39     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.01/1.39    'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U, 
% 1.01/1.39    X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ), 
% 1.01/1.39    'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ), 
% 1.01/1.39    'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.01/1.39    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.01/1.39    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.39    , X ), W, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 1.01/1.39    Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 1.01/1.39    T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ), 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.01/1.39    , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.01/1.39    , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    X, T, 'tc_nat' ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.01/1.39    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.01/1.39    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.01/1.39    , T, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~( 
% 1.01/1.39    'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.01/1.39     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.01/1.39     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.01/1.39    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.01/1.39    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , Z, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.01/1.39    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.01/1.39    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , Z, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.01/1.39    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 1.01/1.39    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.39    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , T, X ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.39    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.39     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.39    , T, X ) ) ), =( Z, T ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.39    , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ), 
% 1.01/1.39    ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.39    , T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.39     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.39     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.01/1.39    , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.39    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 1.01/1.39    'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 1.01/1.39    'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.39    'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.39    'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.39     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.39     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.39     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.39     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.39    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.39    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.39    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.39    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.39    , U, X ), X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.39    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.01/1.39     ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X, 
% 1.01/1.39    'tc_nat' ) ],
% 1.01/1.39     [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.01/1.39    , X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~( 
% 1.01/1.39    'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Ocoeff'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.39     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Ocoeff'( Y, 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z, 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y, 
% 1.01/1.39    'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ), 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.39    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.01/1.39     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.39    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.01/1.39    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.39    , X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.39    , X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.39    , X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 1.01/1.39    , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.39    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.39    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.01/1.39    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.39    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    Y, T, X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.01/1.39    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.01/1.39    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.01/1.39    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , T, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.01/1.39    Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ), 
% 1.01/1.39    ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.39    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 1.01/1.39    W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.39     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.39    , X ), T, X ), W, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.39    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 1.01/1.39    W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.39     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.39    , X ), W, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'c_Polynomial_Odegree'( Y, X ), 'tc_nat'
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.01/1.39    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.01/1.39     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 1.01/1.39    Z, X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.39    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.01/1.39    'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.39     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.39     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.01/1.39     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.01/1.39     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.01/1.39    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 1.01/1.39    X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.39    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.39    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.39     ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 1.01/1.39    , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.01/1.39    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.01/1.39     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.39     [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.39     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.01/1.39    'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.01/1.39    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 1.01/1.39    X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.01/1.39    'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.01/1.39    'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 1.01/1.39    'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 1.01/1.39    'c_lessequals'( Y, Z, X ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 1.01/1.39    'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.39     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.01/1.39    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.39     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.01/1.39    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.39    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.39    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.39    , X ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__local__Xnz__1'( 'v_p' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.01/1.39    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.01/1.39    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.01/1.39    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.01/1.39    , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.01/1.39     ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.39     [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 
% 1.01/1.39    'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y, 
% 1.01/1.39    'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.01/1.39     ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.01/1.39     ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.01/1.39    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.01/1.39    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.39     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.39    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ), 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.39     [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.39     ), 'tc_nat' ), X ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.39    , X, 'tc_nat' ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T
% 1.01/1.39    , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X
% 1.01/1.39     ), T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    Y, X ), T, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, 
% 1.01/1.39    'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.01/1.39     ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ), 
% 1.01/1.39    'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.39     [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.39     ), Y ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.39    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.39    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.39    , Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.39     ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.39    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.39     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.39     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.01/1.39    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ) ), 
% 1.01/1.39    =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~( 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.01/1.39    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 1.01/1.39    , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z, 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.01/1.39    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.01/1.39    'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.01/1.39    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.39    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.39    'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.01/1.39    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.01/1.39    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.01/1.39    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.39     [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Z, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.01/1.39    X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.39    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.39     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.01/1.39     ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.01/1.39    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.01/1.39    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.39     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.39     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.01/1.39    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), Y ), 
% 1.01/1.39    ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.01/1.39     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.39    , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.01/1.39    'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.01/1.39    , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.01/1.39    , X ), X ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.39    , T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 1.01/1.39    , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T, 
% 1.01/1.39    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X )
% 1.01/1.39    , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.01/1.39    Y, X ), T, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.39    , X ), X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.39    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.39    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.01/1.39    , X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.39    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.01/1.39    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.01/1.39    Y, X ), X ) ],
% 1.01/1.39     [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.01/1.39    'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), 
% 1.01/1.39    'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.39    'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.39     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.01/1.39    'c_lessequals'( Z, Y, X ) ],
% 1.01/1.39     [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.39    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.39    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.39     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.01/1.39    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ), =( Y, Z ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.39     ) ), =( Y, Z ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.39    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.01/1.39    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.01/1.39    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 1.01/1.39    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.01/1.39    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.39     ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.39     ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( Y, 'c_Polynomial_Odegree'( 
% 1.01/1.39    Z, X ), 'tc_nat' ), =( 'c_Polynomial_Ocoeff'( Z, Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ), 
% 1.01/1.39    'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x', 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =( 
% 1.01/1.39    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ), 
% 1.01/1.39    'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x', 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ), 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' )
% 1.01/1.39    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xassms__1'( 'v_p' ), 't_a' )
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y, 
% 1.01/1.39    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 1.01/1.39    , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xnz__1'( 'v_p' ), 't_a' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.01/1.39    , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.01/1.39    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.01/1.39    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.39     ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.39     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( 
% 1.01/1.39    Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Polynomial_Opdivmod__rel'( T, Z, U, Y, X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.39     ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.01/1.39    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.01/1.39    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.01/1.39    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.01/1.39    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 'c_Suc'( 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'( 
% 1.01/1.39    'c_Polynomial_Oorder'( Y, Z, X ), 'c_Polynomial_Odegree'( Z, X ), 
% 1.01/1.39    'tc_nat' ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.39     ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.01/1.39    , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.39     ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ), 
% 1.01/1.39    'tc_nat' ), =( 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 1.01/1.39     ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 1.01/1.39     [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ), 
% 1.01/1.39    'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'( 
% 1.01/1.39    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'( 
% 1.01/1.39    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), 
% 1.01/1.39    =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ), 
% 1.01/1.39    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 't_a'
% 1.01/1.39     ), 'v_sko__local__XpCons__2__1'( 'v_c____', 'v_cs____' ), 't_a' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 't_a'
% 1.01/1.39     ), 'v_sko__local__XpCons__Xprems__1'( 'v_c____', 'v_cs____' ), 't_a' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.39    'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y, 
% 1.01/1.39    'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.39    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__local__XpCons__1__2'( 'v_cs____' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    't_a' ) ) ), =( 'c_Polynomial_Opoly'( 'v_cs____', X, 't_a' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.01/1.39    't_a' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__local__XpCons__Xhyps__2'( 'v_cs____' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( 
% 1.01/1.39    'v_cs____', X, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__local__XpCons__Xprems__1'( 'v_c____', 'v_cs____' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__local__XpCons__2__1'( 'v_c____', 'v_cs____' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.01/1.39    'v_sko__unknown__thm__ro4__2'( 'v_c____', 'v_cs____' ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =( 'v_c____', 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( 
% 1.01/1.39    'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ), 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 'v_c____', 
% 1.01/1.39    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oidom'( 't_a' ) ],
% 1.01/1.39     [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    't_a' ) ) ) ) ],
% 1.01/1.39     [ ~( =( hAPP( 'v_x', X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( 
% 1.01/1.39    =( 'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____'
% 1.01/1.39    , 't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    't_a' ) ) ) ],
% 1.01/1.39     [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 't_a' ), 
% 1.01/1.39    'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.01/1.39    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.01/1.39    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    't_a' ) ) ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Omult__zero'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Osemiring'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Ogroup__add'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Oring'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_Ring__and__Field_Odvd'( X ) ],
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.01/1.39    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 1.01/1.39     ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.39     ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.39     ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.39     ],
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Olordered__ab__group__add__meet'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.01/1.39     ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 1.01/1.39    'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.01/1.39     ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.01/1.39     ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.01/1.39     ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.01/1.39     ],
% 1.01/1.39     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.01/1.39    X ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.39    ,
% 1.01/1.39     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.01/1.39    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.39    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.39     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'( 
% 1.01/1.39    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.39     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'( 
% 1.01/1.40    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'( 
% 1.01/1.40    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'( 
% 1.01/1.40    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.40     ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.40     ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40    , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.40    ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.40    ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.40    ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.40    ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.01/1.40    ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.40     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.40     [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.40     [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.40     [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.40     [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.01/1.40    'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.40     [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( 
% 1.01/1.40    X ) ) ],
% 1.01/1.40     [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.01/1.40     ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.01/1.40  ] .
% 1.01/1.40  
% 1.01/1.40  
% 1.01/1.40  percentage equality = 0.223347, percentage horn = 0.873288
% 1.01/1.40  This is a problem with some equality
% 1.01/1.40  
% 1.01/1.40  
% 1.01/1.40  
% 1.01/1.40  Options Used:
% 1.01/1.40  
% 1.01/1.40  useres =            1
% 1.01/1.40  useparamod =        1
% 1.01/1.40  useeqrefl =         1
% 1.01/1.40  useeqfact =         1
% 1.01/1.40  usefactor =         1
% 1.01/1.40  usesimpsplitting =  0
% 1.01/1.40  usesimpdemod =      5
% 1.01/1.40  usesimpres =        3
% 1.01/1.40  
% 1.01/1.40  resimpinuse      =  1000
% 1.01/1.40  resimpclauses =     20000
% 1.01/1.40  substype =          eqrewr
% 1.01/1.40  backwardsubs =      1
% 1.01/1.40  selectoldest =      5
% 1.01/1.40  
% 1.01/1.40  litorderings [0] =  split
% 1.01/1.40  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.01/1.40  
% 1.01/1.40  termordering =      kbo
% 1.01/1.40  
% 1.01/1.40  litapriori =        0
% 1.01/1.40  termapriori =       1
% 1.01/1.40  litaposteriori =    0
% 1.01/1.40  termaposteriori =   0
% 1.01/1.40  demodaposteriori =  0
% 1.01/1.40  ordereqreflfact =   0
% 1.01/1.40  
% 1.01/1.40  litselect =         negord
% 1.01/1.40  
% 1.01/1.40  maxweight =         15
% 1.01/1.40  maxdepth =          30000
% 1.01/1.40  maxlength =         115
% 1.01/1.40  maxnrvars =         195
% 1.01/1.40  excuselevel =       1
% 1.01/1.40  increasemaxweight = 1
% 1.01/1.40  
% 1.01/1.40  maxselected =       10000000
% 1.01/1.40  maxnrclauses =      10000000
% 1.01/1.40  
% 1.01/1.40  showgenerated =    0
% 1.01/1.40  showkept =         0
% 1.01/1.40  showselected =     0
% 1.01/1.40  showdeleted =      0
% 1.01/1.40  showresimp =       1
% 1.01/1.40  showstatus =       2000
% 1.01/1.40  
% 1.01/1.40  prologoutput =     1
% 1.01/1.40  nrgoals =          5000000
% 1.01/1.40  totalproof =       1
% 1.01/1.40  
% 1.01/1.40  Symbols occurring in the translation:
% 1.01/1.40  
% 1.01/1.40  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.01/1.40  .  [1, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 1.01/1.40  !  [4, 1]      (w:0, o:66, a:1, s:1, b:0), 
% 1.01/1.40  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.01/1.40  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.01/1.40  'c_Suc'  [41, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 1.01/1.40  'tc_nat'  [42, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Oord__class_Oless'  [43, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 1.01/1.40  'class_HOL_Ozero'  [45, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Ozero__class_Ozero'  [47, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 1.01/1.40  'c_Polynomial_Omonom'  [48, 3]      (w:1, o:191, a:1, s:1, b:0), 
% 1.01/1.40  'tc_Polynomial_Opoly'  [49, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 1.01/1.40  'c_Polynomial_OpCons'  [50, 3]      (w:1, o:193, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oordered__semiring__strict'  [51, 1]      (w:1, o:
% 1.01/1.40    77, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Otimes__class_Otimes'  [53, 3]      (w:1, o:194, a:1, s:1, b:0), 
% 1.01/1.40  'c_lessequals'  [56, 3]      (w:1, o:195, a:1, s:1, b:0), 
% 1.01/1.40  'c_Pair'  [58, 4]      (w:1, o:214, a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Oab__semigroup__idem__mult'  [61, 1]      (w:1, o:78
% 1.01/1.40    , a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oordered__field'  [63, 1]      (w:1, o:79, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'c_HOL_Oinverse__class_Odivide'  [65, 3]      (w:1, o:196, a:1, s:1, b:0), 
% 1.01/1.40    
% 1.01/1.40  'class_Ring__and__Field_Odivision__by__zero'  [66, 1]      (w:1, o:85, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Ocomm__semiring__0'  [67, 1]      (w:1, o:82, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'c_Polynomial_Osmult'  [69, 3]      (w:1, o:197, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oordered__idom'  [70, 1]      (w:1, o:86, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'c_HOL_Oplus__class_Oplus'  [72, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 1.01/1.40  'c_Polynomial_Opos__poly'  [73, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 1.01/1.40  'class_Lattices_Oupper__semilattice'  [74, 1]      (w:1, o:87, a:1, s:1, b:
% 1.01/1.40    0), 
% 1.01/1.40  'c_Lattices_Oupper__semilattice__class_Osup'  [76, 3]      (w:1, o:199, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oordered__ring__strict'  [77, 1]      (w:1, o:76
% 1.01/1.40    , a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oidom'  [78, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 1.01/1.40  'class_Int_Onumber__ring'  [79, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Olordered__ab__group__add'  [81, 1]      (w:1, o:91, a:
% 1.01/1.40    1, s:1, b:0), 
% 1.01/1.40  'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'  [82, 2]      (w:1
% 1.01/1.40    , o:175, a:1, s:1, b:0), 
% 1.01/1.40  'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'  [83, 2]      (w:1
% 1.01/1.40    , o:176, a:1, s:1, b:0), 
% 1.01/1.40  'class_Orderings_Olinorder'  [84, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Ouminus__class_Ouminus'  [85, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Opordered__ring'  [86, 1]      (w:1, o:96, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_Ring__and__Field_Omult__mono'  [87, 1]      (w:1, o:98, a:1, s:1, b:
% 1.01/1.40    0), 
% 1.01/1.40  'class_Ring__and__Field_Omult__mono1'  [88, 1]      (w:1, o:99, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_HOL_Oeq'  [89, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Oeq__class_Oeq'  [90, 3]      (w:1, o:200, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Ofield'  [91, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 1.01/1.40    
% 1.01/1.40  'c_Divides_Odiv__class_Omod'  [92, 3]      (w:1, o:201, a:1, s:1, b:0), 
% 1.01/1.40  'c_Divides_Odiv__class_Odiv'  [93, 3]      (w:1, o:202, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oordered__semidom'  [94, 1]      (w:1, o:93, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Ocomm__semiring__1'  [95, 1]      (w:1, o:83, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'c_Ring__and__Field_Odvd__class_Odvd'  [96, 3]      (w:1, o:203, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_Lattices_Odistrib__lattice'  [97, 1]      (w:1, o:101, a:1, s:1, b:0
% 1.01/1.40    ), 
% 1.01/1.40  'c_Lattices_Olower__semilattice__class_Oinf'  [98, 3]      (w:1, o:204, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Ogroup__add'  [99, 1]      (w:1, o:102, a:1, s:1, b:0)
% 1.01/1.40    , 
% 1.01/1.40  'class_OrderedGroup_Opordered__ab__group__add__abs'  [100, 1]      (w:1, o:
% 1.01/1.40    104, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Oabs__class_Oabs'  [101, 2]      (w:1, o:179, a:1, s:1, b:0), 
% 1.01/1.40  'class_Divides_Osemiring__div'  [102, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 1.01/1.40    
% 1.01/1.40  'class_Lattices_Olower__semilattice'  [103, 1]      (w:1, o:107, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_Lattices_Olattice'  [104, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 1.01/1.40  'c_Polynomial_Opdivmod__rel'  [105, 5]      (w:1, o:215, a:1, s:1, b:0), 
% 1.01/1.40  'c_Polynomial_Odegree'  [106, 2]      (w:1, o:180, a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Opordered__ab__group__add'  [107, 1]      (w:1, o:109
% 1.01/1.40    , a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Oring'  [109, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 1.01/1.40    
% 1.01/1.40  'class_RealVector_Oreal__normed__vector'  [110, 1]      (w:1, o:111, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'c_HOL_Osgn__class_Osgn'  [111, 2]      (w:1, o:181, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Opordered__ring__abs'  [112, 1]      (w:1, o:112
% 1.01/1.40    , a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [113, 1]      
% 1.01/1.40    (w:1, o:113, a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Opordered__ab__semigroup__add'  [114, 1]      (w:1, o:
% 1.01/1.40    114, a:1, s:1, b:0), 
% 1.01/1.40  'c_HOL_Ominus__class_Ominus'  [118, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Odvd'  [121, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Ocomm__ring'  [122, 1]      (w:1, o:80, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_Orderings_Oorder'  [125, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Opordered__cancel__semiring'  [126, 1]      (w:1
% 1.01/1.40    , o:117, a:1, s:1, b:0), 
% 1.01/1.40  'class_Divides_Oring__div'  [127, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Oab__semigroup__mult'  [128, 1]      (w:1, o:118, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_RealVector_Oreal__normed__algebra'  [133, 1]      (w:1, o:119, a:1
% 1.01/1.40    , s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Ocomm__semiring'  [136, 1]      (w:1, o:84, a:1, s:
% 1.01/1.40    1, b:0), 
% 1.01/1.40  'class_OrderedGroup_Oab__group__add'  [137, 1]      (w:1, o:120, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'c_Polynomial_Ocoeff'  [138, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 1.01/1.40  't_a'  [139, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 1.01/1.40  'v_p'  [140, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 1.01/1.40  'v_sko__local__Xassms__1'  [141, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.01/1.40  'class_Ring__and__Field_Opordered__semiring'  [142, 1]      (w:1, o:122, a:
% 1.01/1.40    1, s:1, b:0), 
% 1.01/1.40  'class_RealVector_Oreal__vector'  [143, 1]      (w:1, o:123, a:1, s:1, b:0)
% 1.01/1.40    , 
% 1.01/1.40  'c_RealVector_OscaleR__class_OscaleR'  [144, 3]      (w:1, o:207, a:1, s:1
% 1.01/1.40    , b:0), 
% 1.01/1.40  'class_Lattices_Oboolean__algebra'  [149, 1]      (w:1, o:124, a:1, s:1, b:
% 1.01/1.40    0), 
% 1.43/1.79  'class_OrderedGroup_Olordered__ab__group__add__abs'  [150, 1]      (w:1, o:
% 1.43/1.79    125, a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Opordered__comm__monoid__add'  [151, 1]      (w:1, o:
% 1.43/1.79    126, a:1, s:1, b:0), 
% 1.43/1.79  'class_RealVector_Oreal__normed__field'  [152, 1]      (w:1, o:127, a:1, s:
% 1.43/1.79    1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Ocomm__ring__1'  [153, 1]      (w:1, o:81, a:1, s:1
% 1.43/1.79    , b:0), 
% 1.43/1.79  'class_Ring__and__Field_Oabs__if'  [154, 1]      (w:1, o:128, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'class_Ring__and__Field_Oordered__semiring'  [155, 1]      (w:1, o:94, a:1
% 1.43/1.79    , s:1, b:0), 
% 1.43/1.79  'c_Polynomial_Osynthetic__div'  [156, 3]      (w:1, o:208, a:1, s:1, b:0), 
% 1.43/1.79    
% 1.43/1.79  'c_Polynomial_Opoly'  [157, 3]      (w:1, o:209, a:1, s:1, b:0), 
% 1.43/1.79  'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'  [159, 3]      
% 1.43/1.79    (w:1, o:210, a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Ocomm__monoid__add'  [160, 1]      (w:1, o:129, a:1, s:
% 1.43/1.79    1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [161, 1]      (w:1, o:130
% 1.43/1.79    , a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Ocancel__semigroup__add'  [162, 1]      (w:1, o:131, a:
% 1.43/1.79    1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Olordered__ab__group__add__meet'  [163, 1]      (w:1
% 1.43/1.79    , o:132, a:1, s:1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Olordered__ring'  [166, 1]      (w:1, o:97, a:1, s:
% 1.43/1.79    1, b:0), 
% 1.43/1.79  'class_SEQ_Obanach'  [167, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 1.43/1.79  'c_Transcendental_Oexp'  [168, 2]      (w:1, o:182, a:1, s:1, b:0), 
% 1.43/1.79  'c_Polynomial_Opoly__gcd'  [169, 3]      (w:1, o:211, a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Olordered__ab__group__add__join'  [170, 1]      (w:1
% 1.43/1.79    , o:141, a:1, s:1, b:0), 
% 1.43/1.79  'class_Orderings_Opreorder'  [171, 1]      (w:1, o:142, a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Oab__semigroup__add'  [172, 1]      (w:1, o:143, a:1
% 1.43/1.79    , s:1, b:0), 
% 1.43/1.79  'class_RealVector_Oreal__algebra'  [173, 1]      (w:1, o:133, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'  [179, 2]      (w:1, o:
% 1.43/1.79    183, a:1, s:1, b:0), 
% 1.43/1.79  'c_Polynomial_Opcompose'  [181, 3]      (w:1, o:212, a:1, s:1, b:0), 
% 1.43/1.79  'class_RealVector_Oreal__field'  [182, 1]      (w:1, o:134, a:1, s:1, b:0)
% 1.43/1.79    , 
% 1.43/1.79  'class_OrderedGroup_Oordered__ab__group__add'  [183, 1]      (w:1, o:103
% 1.43/1.79    , a:1, s:1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Osemiring'  [185, 1]      (w:1, o:136, a:1, s:1, b:
% 1.43/1.79    0), 
% 1.43/1.79  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [189, 1]      
% 1.43/1.79    (w:1, o:144, a:1, s:1, b:0), 
% 1.43/1.79  'v_sko__local__Xnz__1'  [190, 1]      (w:1, o:145, a:1, s:1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [191, 1]      
% 1.43/1.79    (w:1, o:95, a:1, s:1, b:0), 
% 1.43/1.79  'c_Fun_Oid'  [192, 2]      (w:1, o:184, a:1, s:1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Osgn__if'  [193, 1]      (w:1, o:137, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'class_Ring__and__Field_Oring__no__zero__divisors'  [194, 1]      (w:1, o:
% 1.43/1.79    135, a:1, s:1, b:0), 
% 1.43/1.79  'class_Ring__and__Field_Omult__zero'  [195, 1]      (w:1, o:138, a:1, s:1
% 1.43/1.79    , b:0), 
% 1.43/1.79  'class_Ring__and__Field_Ono__zero__divisors'  [196, 1]      (w:1, o:75, a:1
% 1.43/1.79    , s:1, b:0), 
% 1.43/1.79  'class_RealVector_Oreal__normed__div__algebra'  [197, 1]      (w:1, o:139
% 1.43/1.79    , a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Omonoid__add'  [198, 1]      (w:1, o:146, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'c_Polynomial_Osynthetic__divmod'  [199, 3]      (w:1, o:213, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'v_x'  [200, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 1.43/1.79  'c_Polynomial_Oorder'  [201, 3]      (w:1, o:192, a:1, s:1, b:0), 
% 1.43/1.79  'v_c____'  [202, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 1.43/1.79  'v_cs____'  [203, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 1.43/1.79  'v_sko__local__XpCons__2__1'  [204, 2]      (w:1, o:185, a:1, s:1, b:0), 
% 1.43/1.79  'v_sko__local__XpCons__Xprems__1'  [205, 2]      (w:1, o:186, a:1, s:1, b:0
% 1.43/1.79    ), 
% 1.43/1.79  'v_sko__local__XpCons__1__2'  [206, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 1.43/1.79  'v_sko__local__XpCons__Xhyps__2'  [207, 1]      (w:1, o:148, a:1, s:1, b:0)
% 1.43/1.79    , 
% 1.43/1.79  'v_sko__unknown__thm__ro4__2'  [208, 2]      (w:1, o:187, a:1, s:1, b:0), 
% 1.43/1.79  hAPP  [209, 2]      (w:1, o:188, a:1, s:1, b:0), 
% 1.43/1.79  'class_OrderedGroup_Ocancel__comm__monoid__add'  [211, 1]      (w:1, o:149
% 1.43/1.79    , a:1, s:1, b:0), 
% 1.43/1.79  'tc_RealDef_Oreal'  [213, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 1.43/1.79  'tc_prod'  [215, 2]      (w:1, o:189, a:1, s:1, b:0).
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Starting Search:
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    3613
% 1.43/1.79  Kept:         2058
% 1.43/1.79  Inuse:        126
% 1.43/1.79  Deleted:      0
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    10524
% 1.43/1.79  Kept:         4072
% 1.43/1.79  Inuse:        229
% 1.43/1.79  Deleted:      0
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    17324
% 1.43/1.79  Kept:         6087
% 1.43/1.79  Inuse:        331
% 1.43/1.79  Deleted:      0
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Intermediate Status:
% 1.43/1.79  Generated:    23382
% 1.43/1.79  Kept:         8089
% 1.43/1.79  Inuse:        434
% 1.43/1.79  Deleted:      1
% 1.43/1.79  Deletedinuse: 0
% 1.43/1.79  
% 1.43/1.79  Resimplifying inuse:
% 1.43/1.79  Done
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  Bliksems!, er is een bewijs:
% 1.43/1.79  % SZS status Unsatisfiable
% 1.43/1.79  % SZS output start Refutation
% 1.43/1.79  
% 1.43/1.79  clause( 949, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.43/1.79    't_a' ) ), 'v_cs____' ) ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 951, [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 
% 1.43/1.79    't_a' ), 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.43/1.79    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.43/1.79    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.43/1.79    't_a' ) ) ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 1366, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 1.43/1.79     ) ), 'v_cs____' ) ] )
% 1.43/1.79  .
% 1.43/1.79  clause( 9309, [] )
% 1.43/1.79  .
% 1.43/1.79  
% 1.43/1.79  
% 1.43/1.79  % SZS output end Refutation
% 1.43/1.79  found a proof!
% 1.43/1.79  
% 1.43/1.79  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.43/1.79  
% 1.43/1.79  initialclauses(
% 1.43/1.79  [ clause( 9311, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 1.43/1.79    ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9312, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9313, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y
% 1.43/1.79    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 1.43/1.79  , clause( 9314, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9315, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.43/1.79    , =( X, U ) ] )
% 1.43/1.79  , clause( 9316, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.43/1.79    , =( Y, W ) ] )
% 1.43/1.79  , clause( 9317, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 1.43/1.79    , =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 1.43/1.79  , clause( 9318, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9319, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9320, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9321, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9322, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9323, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9324, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ), 
% 1.43/1.79    'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_Osmult'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9325, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.43/1.79    , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 1.43/1.79  , clause( 9326, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9327, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9328, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9329, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9330, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9331, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9332, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.79    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9333, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.43/1.79    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9334, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.79    X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9335, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.43/1.79    Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9336, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.43/1.79    Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9337, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.43/1.79    X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9338, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9339, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 1.43/1.79  , clause( 9340, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9341, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9342, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.79    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9343, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9344, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.43/1.79    'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.43/1.79  , clause( 9345, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9346, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9347, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9348, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9349, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9350, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.43/1.79    X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9351, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9352, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9353, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( 
% 1.43/1.79    Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 1.43/1.79  , clause( 9354, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( 
% 1.43/1.79    Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 1.43/1.79  , clause( 9355, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.43/1.79    , X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9356, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.43/1.79    , X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9357, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9358, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9359, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9360, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9361, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 1.43/1.79  , clause( 9362, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9363, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9364, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9365, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9366, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.43/1.79    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9367, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9368, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9369, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9370, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.43/1.79     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9371, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.43/1.79     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9372, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9373, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    X ) ) ] )
% 1.43/1.79  , clause( 9374, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9375, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9376, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9377, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.79    Z, X ) ] )
% 1.43/1.79  , clause( 9378, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.79    Y, X ) ] )
% 1.43/1.79  , clause( 9379, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 1.43/1.79  , clause( 9380, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 1.43/1.79  , clause( 9381, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_Polynomial_Odegree'( T, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.43/1.79     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9382, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9383, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9384, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( T, U, X ), X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9385, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.43/1.79    X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9386, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.43/1.79    X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9387, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 1.43/1.79    , =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.43/1.79    , X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9388, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9389, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9390, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9391, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.43/1.79    , Z, X ) ) ] )
% 1.43/1.79  , clause( 9392, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9393, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 1.43/1.79  , clause( 9394, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9395, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9396, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9397, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9398, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9399, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9400, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9401, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9402, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9403, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9404, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9405, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.79    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.43/1.79    'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9406, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9407, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.79    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.43/1.79    'c_lessequals'( Y, Z, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9408, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9409, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9410, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.43/1.79    ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9411, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 1.43/1.79  , clause( 9412, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 1.43/1.79  , clause( 9413, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 1.43/1.79    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 1.43/1.79  , clause( 9414, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 1.43/1.79    , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9415, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ), 
% 1.43/1.79    ~( 'c_lessequals'( U, T, X ) ) ] )
% 1.43/1.79  , clause( 9416, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ), 
% 1.43/1.79    ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9417, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9418, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9419, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.43/1.79    , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 1.43/1.79  , clause( 9420, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.79    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 1.43/1.79  , clause( 9421, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9422, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 1.43/1.79  , clause( 9423, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9424, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 1.43/1.79  , clause( 9425, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 1.43/1.79  , clause( 9426, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9427, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9428, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), 
% 1.43/1.79    ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9429, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 1.43/1.79    ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9430, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), 
% 1.43/1.79    ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9431, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9432, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 1.43/1.79    Y, Z ) ] )
% 1.43/1.79  , clause( 9433, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 1.43/1.79  , clause( 9434, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9435, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 1.43/1.79    Z, Y ) ] )
% 1.43/1.79  , clause( 9436, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9437, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9438, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9439, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 1.43/1.79    , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9440, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9441, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9442, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9443, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 1.43/1.79  , clause( 9444, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9445, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9446, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9447, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9448, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.79    X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9449, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.79    X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9450, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.43/1.79    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.43/1.79    T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9451, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9452, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9453, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.43/1.79     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.43/1.79    , X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9454, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.43/1.79     ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9455, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.43/1.79     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.43/1.79    , X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9456, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.43/1.79    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9457, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9458, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9459, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9460, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9461, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9462, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.43/1.79    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9463, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9464, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9465, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.43/1.79    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.43/1.79    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9466, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9467, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9468, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9469, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9470, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9471, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.43/1.79    T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 1.43/1.79    Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9473, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ), 
% 1.43/1.79    Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9474, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.43/1.79     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, 
% 1.43/1.79    Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    X ) ) ] )
% 1.43/1.79  , clause( 9476, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.43/1.79    T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.43/1.79    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'( 
% 1.43/1.79    X ) ) ) ] )
% 1.43/1.79  , clause( 9477, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79    , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 1.43/1.79     ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9478, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.43/1.79     ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 1.43/1.79     ), X ) ) ] )
% 1.43/1.79  , clause( 9479, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.79     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9480, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.79     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9481, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9482, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9483, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9484, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    ~( =( 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X )
% 1.43/1.79     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9486, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 1.43/1.79  , clause( 9487, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.43/1.79    'v_sko__local__Xassms__1'( 'v_p' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9488, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9489, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ] )
% 1.43/1.79  , clause( 9490, [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, 
% 1.43/1.79    X ) ] )
% 1.43/1.79  , clause( 9491, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9492, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.79    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9493, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9494, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9495, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9496, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.43/1.79    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9497, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, Y, X ) ) ] )
% 1.43/1.79  , clause( 9498, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9499, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.43/1.79    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9500, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.43/1.79    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9501, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9502, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9503, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9504, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 1.43/1.79  , clause( 9505, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9506, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.43/1.79    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.43/1.79  , clause( 9507, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.43/1.79    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9508, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.43/1.79    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9509, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9510, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.43/1.79  , clause( 9511, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9512, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9513, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9514, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 1.43/1.79  , clause( 9515, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.79    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9516, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.79    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9517, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.43/1.79  , clause( 9518, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9519, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 1.43/1.79  , clause( 9520, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9521, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9522, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.43/1.79     ), =( Z, Y ) ] )
% 1.43/1.79  , clause( 9523, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9524, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9525, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 1.43/1.79  , clause( 9526, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~( 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ] )
% 1.43/1.79  , clause( 9527, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~( 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ] )
% 1.43/1.79  , clause( 9528, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9529, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 
% 1.43/1.79    'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9530, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9531, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 1.43/1.79  , clause( 9532, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9533, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.43/1.79     ), =( Z, Y ) ] )
% 1.43/1.79  , clause( 9534, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 1.43/1.79    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9535, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.79    , X ) ) ), =( Y, Z ) ] )
% 1.43/1.79  , clause( 9536, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.79    , X ) ) ), =( Y, Z ) ] )
% 1.43/1.79  , clause( 9537, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.43/1.79    'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9538, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9539, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 1.43/1.79  , clause( 9540, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9541, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9542, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9543, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 1.43/1.79  , clause( 9544, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9545, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 1.43/1.79  , clause( 9546, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9547, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 1.43/1.79  , clause( 9549, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 1.43/1.79  , clause( 9550, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 1.43/1.79  , clause( 9551, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9552, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 1.43/1.79     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.43/1.79  , clause( 9553, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.43/1.79    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9554, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.43/1.79    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9555, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9556, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9557, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9558, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.43/1.79    , X ), X ) ) ] )
% 1.43/1.79  , clause( 9559, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.43/1.79    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.43/1.79     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9560, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9561, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9562, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9563, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9564, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9565, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9566, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9567, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9568, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9569, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9570, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9571, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9572, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9573, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9574, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9575, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9576, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9577, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.43/1.79    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9578, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.43/1.79    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9579, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9580, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9581, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9582, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9583, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.43/1.79    'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ), 
% 1.43/1.79    ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ] )
% 1.43/1.79  , clause( 9584, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9585, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9586, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.79    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9587, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ), X ) ) ] )
% 1.43/1.79  , clause( 9588, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9589, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.43/1.79    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.43/1.79     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9590, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9591, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9592, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.79    , Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9593, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9594, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.79    , Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9595, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9598, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9601, [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) )
% 1.43/1.79    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9602, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) )
% 1.43/1.79    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9603, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X
% 1.43/1.79     ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ), 
% 1.43/1.79    'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9604, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 1.43/1.79  , clause( 9605, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.79    , 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 1.43/1.79  , clause( 9606, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ] )
% 1.43/1.79  , clause( 9607, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 1.43/1.79  , clause( 9608, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.43/1.79    'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9609, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9610, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.79    , T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9611, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.79    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9612, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.79    , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9613, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.43/1.79  , clause( 9614, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9615, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 1.43/1.79  , clause( 9616, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ), 
% 1.43/1.79    'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9617, [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), 
% 1.43/1.79    ~( 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9619, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, 
% 1.43/1.79    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9620, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9621, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, 
% 1.43/1.79    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.43/1.79     ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9622, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9623, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.43/1.79    X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9624, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.79    , X ), X ) ) ] )
% 1.43/1.79  , clause( 9625, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.79    , X ), X ) ) ] )
% 1.43/1.79  , clause( 9626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9630, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ] )
% 1.43/1.79  , clause( 9631, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.79    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.79    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9633, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 1.43/1.79  , clause( 9634, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9635, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.43/1.79    'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 1.43/1.79  , clause( 9636, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.79    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9637, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.79    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9638, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.43/1.79    X ), X ) ) ] )
% 1.43/1.79  , clause( 9639, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9640, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9641, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9642, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9643, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9644, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.43/1.79    , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 1.43/1.79  , clause( 9645, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.43/1.79    , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9646, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9647, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9648, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.43/1.79    , X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9649, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.43/1.79    , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9650, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9651, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9652, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9653, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9654, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9655, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.79    T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9656, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.79    T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 1.43/1.79  , clause( 9657, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9658, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9659, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9660, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 1.43/1.79  , clause( 9661, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.79    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.79    , T, X ), X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9662, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9663, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9664, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9665, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.43/1.79    'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9666, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.43/1.79    , X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 1.43/1.79  , clause( 9667, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ] )
% 1.43/1.79  , clause( 9668, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 1.43/1.79  , clause( 9669, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 1.43/1.79  , clause( 9670, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.79    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.43/1.79    , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.43/1.79  , clause( 9671, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.43/1.79     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.43/1.79  , clause( 9672, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.43/1.79    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, T, X ) ) ), =( Z, T ) ] )
% 1.43/1.79  , clause( 9673, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 1.43/1.79    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    T, Z, X ) ) ), =( Y, T ) ] )
% 1.43/1.79  , clause( 9674, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9675, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9676, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9677, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9678, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9679, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9680, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9681, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.43/1.79    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9682, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9683, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9684, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.79     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9685, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.79    'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ] )
% 1.43/1.79  , clause( 9686, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.79  , clause( 9687, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.79     ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ] )
% 1.43/1.79  , clause( 9688, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 1.43/1.79  , clause( 9689, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 1.43/1.79  , clause( 9690, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 1.43/1.79  , clause( 9691, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9692, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9693, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 1.43/1.79     ), X ) ] )
% 1.43/1.79  , clause( 9694, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9695, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9696, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.43/1.79  , clause( 9697, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9698, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.43/1.79  , clause( 9699, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9700, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat'
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9701, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.79    'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =( 
% 1.43/1.79    Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9702, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9703, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 1.43/1.79  , clause( 9704, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9705, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9706, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.43/1.79    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9707, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9708, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9709, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( 
% 1.43/1.79    X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9710, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( 
% 1.43/1.79    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.43/1.79  , clause( 9711, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.43/1.79  , clause( 9712, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9713, [ ~( 'class_Divides_Osemiring__div'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.79    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.79  , clause( 9714, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 1.43/1.79  , clause( 9715, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.43/1.79    , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 1.43/1.79     ), X ) ) ] )
% 1.43/1.79  , clause( 9716, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 1.43/1.79  , clause( 9717, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 1.43/1.79  , clause( 9718, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.43/1.79    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.79     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.43/1.79    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9720, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9721, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9722, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 
% 1.43/1.79    Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9723, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9724, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.43/1.79    'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9725, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.79    , =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.79    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9726, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9727, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9728, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9729, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.79    'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9730, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.79    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.43/1.79    'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9731, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.43/1.79    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.43/1.79     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 1.43/1.79  , clause( 9732, [ ~( 
% 1.43/1.79    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.43/1.79    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.43/1.79     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9733, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9734, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9735, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9736, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.43/1.79  , clause( 9737, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.43/1.79  , clause( 9738, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.43/1.79  , clause( 9739, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 1.43/1.79    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9740, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 1.43/1.79     ) ) ) ] )
% 1.43/1.79  , clause( 9741, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 1.43/1.79     ) ) ) ] )
% 1.43/1.79  , clause( 9742, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.79     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 1.43/1.79  , clause( 9743, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.43/1.79    , X ), X ) ) ] )
% 1.43/1.79  , clause( 9744, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9745, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.79    =( 'c_Polynomial_Opoly'( 
% 1.43/1.79    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 1.43/1.79    , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.43/1.79     ) ) ] )
% 1.43/1.79  , clause( 9746, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.43/1.79    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 1.43/1.79  , clause( 9747, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.43/1.79  , clause( 9748, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.79     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.79    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.79  , clause( 9749, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.43/1.79    , X ) ) ] )
% 1.43/1.79  , clause( 9750, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.43/1.79    'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9751, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.79    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9752, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9753, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.43/1.79    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.79    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.43/1.79    'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9754, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.79    , Y, X ), X ) ] )
% 1.43/1.79  , clause( 9755, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , Z, X ), X ) ] )
% 1.43/1.79  , clause( 9756, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , Z, X ), X ) ] )
% 1.43/1.79  , clause( 9757, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.79    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.43/1.79     )
% 1.43/1.79  , clause( 9758, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.79    'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 1.43/1.79  , clause( 9759, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.43/1.79    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.43/1.79     ] )
% 1.43/1.79  , clause( 9760, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9761, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, 
% 1.43/1.79    X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9762, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.43/1.79     ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.79    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.79     ) ] )
% 1.43/1.79  , clause( 9763, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_Divides_Odiv__class_Omod'( 'c_Polynomial_OpCons'( Y, Z, X ), T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.79    'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'( 
% 1.43/1.79    'c_HOL_Oinverse__class_Odivide'( 'c_Polynomial_Ocoeff'( 
% 1.43/1.79    'c_Polynomial_OpCons'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( T, X ), X ), 
% 1.43/1.79    'c_Polynomial_Ocoeff'( T, 'c_Polynomial_Odegree'( T, X ), X ), X ), T, X
% 1.43/1.79     ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.79  , clause( 9764, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.79     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.43/1.79    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.79  , clause( 9765, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.79  , clause( 9766, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.79    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.79    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.79  , clause( 9767, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.79    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9768, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.79    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.79    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.43/1.79    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.79    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.43/1.79  , clause( 9769, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.43/1.79    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.79    'tc_nat' ) ), 'tc_nat' ) ) ] )
% 1.43/1.79  , clause( 9770, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.79     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.79    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 1.43/1.80  , clause( 9771, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ), 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9772, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9773, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.43/1.80    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9774, [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_Polynomial_Odegree'( 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z, 
% 1.43/1.80    'tc_nat' ) ] )
% 1.43/1.80  , clause( 9775, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.43/1.80     ), Y ) ] )
% 1.43/1.80  , clause( 9776, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Osmult'( T, 
% 1.43/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.43/1.80     ), 'c_Polynomial_OpCons'( Y, 
% 1.43/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.43/1.80     ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9777, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9778, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9779, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9780, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9781, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.80     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9783, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9784, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9785, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.80    , T, X ), X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9786, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( 
% 1.43/1.80    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9787, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( 
% 1.43/1.80    X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9788, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9789, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9790, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 1.43/1.80  , clause( 9791, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.43/1.80    , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.43/1.80  , clause( 9792, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 1.43/1.80    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 9793, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9794, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.43/1.80    'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80     ), =( Z, T ) ] )
% 1.43/1.80  , clause( 9795, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9796, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9797, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 9798, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9799, [ =( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.43/1.80     ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9800, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9801, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9802, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 9803, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 9804, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 9805, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 9806, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9807, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.80     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.43/1.80    X ) ] )
% 1.43/1.80  , clause( 9808, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9809, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9810, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9811, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9812, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9813, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.43/1.80    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9814, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.43/1.80    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9815, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.43/1.80    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9816, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.43/1.80    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9817, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.43/1.80    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9818, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.43/1.80    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9819, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.43/1.80    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ) ) ] )
% 1.43/1.80  , clause( 9820, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.43/1.80    'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ] )
% 1.43/1.80  , clause( 9821, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9822, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9823, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.43/1.80    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.43/1.80    'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9824, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 1.43/1.80  , clause( 9825, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.43/1.80     ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.43/1.80     ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.43/1.80    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ] )
% 1.43/1.80  , clause( 9826, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.43/1.80    , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 1.43/1.80  , clause( 9827, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9828, [ ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9829, [ ~( 'class_HOL_Ozero'( X ) ), =( 
% 1.43/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9830, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9831, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y )
% 1.43/1.80    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9832, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.80    Y ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 1.43/1.80  , clause( 9833, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9834, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.80     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9835, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ] )
% 1.43/1.80  , clause( 9836, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 1.43/1.80  , clause( 9837, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ) ] )
% 1.43/1.80  , clause( 9838, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), 
% 1.43/1.80    ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9839, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9840, [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9841, [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_Polynomial_Odegree'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Z, X ) ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9842, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.43/1.80    , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9843, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.80    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.43/1.80    'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 9844, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.43/1.80     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.43/1.80     ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 9845, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.43/1.80    'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.43/1.80    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9846, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9847, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 1.43/1.80  , clause( 9848, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9849, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9850, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9851, [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 1.43/1.80  , clause( 9852, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 9853, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.80     ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 1.43/1.80  , clause( 9854, [ ~( 
% 1.43/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.43/1.80    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 1.43/1.80     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9855, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9856, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9857, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.43/1.80  , clause( 9858, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9859, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9860, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9861, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.43/1.80  , clause( 9862, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.43/1.80    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9863, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9864, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9865, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9866, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.43/1.80    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 9867, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.43/1.80    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 9868, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ), 
% 1.43/1.80    'c_Polynomial_Ocoeff'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 9869, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9870, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ), 
% 1.43/1.80    'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9871, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.80     ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 1.43/1.80    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 1.43/1.80  , clause( 9872, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat'
% 1.43/1.80     ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.43/1.80  , clause( 9873, [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat'
% 1.43/1.80     ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.43/1.80  , clause( 9874, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.43/1.80    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 1.43/1.80  , clause( 9875, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.43/1.80    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.43/1.80    , X ), W, X ) ) ] )
% 1.43/1.80  , clause( 9876, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 9877, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 9878, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.80     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ) ) ] )
% 1.43/1.80  , clause( 9879, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9880, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.80    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 1.43/1.80    Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9881, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.80    , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( 
% 1.43/1.80    T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9882, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9883, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9884, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.43/1.80  , clause( 9885, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 
% 1.43/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9886, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9887, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9888, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9889, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ), 
% 1.43/1.80    'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.43/1.80    , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.43/1.80    , ~( 'c_lessequals'( Y, W, X ) ) ] )
% 1.43/1.80  , clause( 9890, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.80    Y, X ) ) ] )
% 1.43/1.80  , clause( 9891, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    X, T, 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9892, [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9893, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.80    Y, X ) ) ] )
% 1.43/1.80  , clause( 9894, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.43/1.80    X ) ) ] )
% 1.43/1.80  , clause( 9895, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9896, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9897, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9898, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9899, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.43/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9900, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.43/1.80    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 1.43/1.80    X ) ) ] )
% 1.43/1.80  , clause( 9901, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.43/1.80    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.43/1.80  , clause( 9902, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.43/1.80    , T, X ), X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9903, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ] )
% 1.43/1.80  , clause( 9904, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~( 
% 1.43/1.80    'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 1.43/1.80  , clause( 9905, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.43/1.80     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9906, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.43/1.80     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9907, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.43/1.80     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.43/1.80    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.43/1.80    , Y, X ) ) ] )
% 1.43/1.80  , clause( 9908, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.43/1.80    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , Z, X ) ] )
% 1.43/1.80  , clause( 9909, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.43/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.43/1.80    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , Z, X ) ] )
% 1.43/1.80  , clause( 9910, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.80    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9911, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.43/1.80     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 1.43/1.80    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9912, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.80    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , T, X ) ] )
% 1.43/1.80  , clause( 9913, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9914, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9915, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 9916, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9917, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.43/1.80  , clause( 9918, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.43/1.80  , clause( 9919, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 1.43/1.80  , clause( 9920, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9921, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 1.43/1.80    , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 1.43/1.80  , clause( 9922, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.43/1.80  , clause( 9923, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9924, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9925, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.43/1.80     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9926, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9927, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9928, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9929, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 9930, [ ~( 
% 1.43/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 1.43/1.80    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 9931, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.80    , T, X ) ) ), =( Z, T ) ] )
% 1.43/1.80  , clause( 9932, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.43/1.80    , T, X ) ) ), =( Y, Z ) ] )
% 1.43/1.80  , clause( 9933, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ), 
% 1.43/1.80    ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ] )
% 1.43/1.80  , clause( 9934, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9935, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.80     ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.43/1.80    , T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9936, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.43/1.80     ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9937, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.43/1.80     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9938, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9939, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.43/1.80     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 9940, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9941, [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.43/1.80    , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_Suc'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9942, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9943, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9944, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9945, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9946, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 9947, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.80    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    Y, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9948, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.80    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.80    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 1.43/1.80  , clause( 9949, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9950, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( 
% 1.43/1.80    'c_lessequals'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9951, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), 
% 1.43/1.80    'c_lessequals'( Y, Z, X ) ] )
% 1.43/1.80  , clause( 9952, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( 
% 1.43/1.80    'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 9953, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9954, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9955, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9956, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9957, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.43/1.80     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 1.43/1.80  , clause( 9958, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.43/1.80     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9959, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.43/1.80     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9960, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.43/1.80     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9961, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.43/1.80     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9962, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9963, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ), X ) ) ] )
% 1.43/1.80  , clause( 9964, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ), X ) ) ] )
% 1.43/1.80  , clause( 9965, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.43/1.80    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.80    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9966, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.43/1.80    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.80    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9967, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.80    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9968, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.80    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9969, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.43/1.80    , U, X ), X ) ) ] )
% 1.43/1.80  , clause( 9970, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.43/1.80    , 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9971, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.80    X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9972, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.43/1.80    =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9973, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 
% 1.43/1.80    'c_lessequals'( Y, X, 'tc_nat' ) ] )
% 1.43/1.80  , clause( 9974, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_Suc'( Y ), X, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~( 
% 1.43/1.80    'c_Polynomial_Opos__poly'( Z, X ) ) ] )
% 1.43/1.80  , clause( 9976, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Ocoeff'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.43/1.80     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Ocoeff'( Y, 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z, 
% 1.43/1.80    'c_Polynomial_Odegree'( Z, X ), X ), X ) ) ] )
% 1.43/1.80  , clause( 9977, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.43/1.80     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 9978, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ), 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y, 
% 1.43/1.80    'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ), 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.43/1.80    'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y, 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'( 
% 1.43/1.80    X ) ), X ) ] )
% 1.43/1.80  , clause( 9979, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.43/1.80    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 9980, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.43/1.80     ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 9981, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9982, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 1.43/1.80  , clause( 9983, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.80    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 1.43/1.80  , clause( 9984, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.43/1.80    'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 9985, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9986, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.43/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 9987, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.80    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9988, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.43/1.80    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.43/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 9989, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.80    , X ), X ), X ) ) ] )
% 1.43/1.80  , clause( 9990, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9991, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 9992, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.43/1.80    , =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.80    , X ), X ) ) ] )
% 1.43/1.80  , clause( 9993, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.43/1.80    , X ), X ) ) ] )
% 1.43/1.80  , clause( 9994, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 9995, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9996, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9997, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9998, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 9999, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10000, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 1.43/1.80    , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ] )
% 1.43/1.80  , clause( 10001, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.43/1.80    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 1.43/1.80  , clause( 10002, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 10003, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 10004, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10005, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10006, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10007, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.43/1.80    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.80    'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.43/1.80    'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 10008, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.43/1.80    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    Y, T, X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10009, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10010, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10011, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.43/1.80    , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10012, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.43/1.80    , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 10013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.80    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , T, X ) ] )
% 1.43/1.80  , clause( 10014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.43/1.80    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.43/1.80    Z, X ) ) ] )
% 1.43/1.80  , clause( 10015, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ), 
% 1.43/1.80    ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ] )
% 1.43/1.80  , clause( 10016, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 1.43/1.80  , clause( 10017, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 1.43/1.80  , clause( 10018, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.43/1.80    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.43/1.80  , clause( 10019, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.80    'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10020, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.43/1.80    X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.43/1.80  , clause( 10021, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.43/1.80    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.43/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 1.43/1.80    W, X ), X ) ) ] )
% 1.43/1.80  , clause( 10022, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.43/1.80     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.43/1.80    , X ), T, X ), W, X ) ) ] )
% 1.43/1.80  , clause( 10023, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.43/1.80    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.43/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 1.43/1.80    W, X ), X ) ) ] )
% 1.43/1.80  , clause( 10024, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.43/1.80     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.43/1.80    , X ), W, X ), X ) ) ] )
% 1.43/1.80  , clause( 10025, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Z, X ), 'c_Polynomial_Odegree'( Y, X ), 'tc_nat'
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 10026, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 10027, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.43/1.80    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.43/1.80     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 1.43/1.80    Z, X ) ) ] )
% 1.43/1.80  , clause( 10028, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 10029, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10030, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.43/1.80    , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 1.43/1.80  , clause( 10031, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.43/1.80    'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10032, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.80    'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10033, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.43/1.80     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 1.43/1.80  , clause( 10034, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.43/1.80     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 1.43/1.80  , clause( 10035, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10036, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.80    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 1.43/1.80    =( Y, T ) ] )
% 1.43/1.80  , clause( 10037, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.43/1.80    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.43/1.80    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 1.43/1.80    =( Y, T ) ] )
% 1.43/1.80  , clause( 10038, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 10039, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y )
% 1.43/1.80    , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10040, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X )
% 1.43/1.80    , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10041, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 
% 1.43/1.80    ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10042, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.43/1.80    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 1.43/1.80    X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10043, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80     ) ] )
% 1.43/1.80  , clause( 10044, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.43/1.80    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 10045, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.43/1.80    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.43/1.80  , clause( 10046, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_Polynomial_Odegree'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.43/1.80    Z, 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.43/1.80     ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10047, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10048, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10049, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10050, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10051, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 1.43/1.80    , 'c_Polynomial_Opoly'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10052, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.43/1.80    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10053, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    Z, X ) ) ] )
% 1.43/1.80  , clause( 10054, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10055, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.43/1.80     ), X ) ) ] )
% 1.43/1.80  , clause( 10056, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.43/1.80     ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10057, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.43/1.80     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10058, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.43/1.80  , clause( 10059, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.43/1.80  , clause( 10060, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10061, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10062, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.43/1.80  , clause( 10063, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~( 
% 1.43/1.80    'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10064, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, 
% 1.43/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 1.43/1.80  , clause( 10065, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 1.43/1.80     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10066, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10067, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10068, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10069, [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.43/1.80    'tc_nat' ), 'tc_nat' ) ] )
% 1.43/1.80  , clause( 10070, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_Polynomial_Odegree'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.43/1.80    Z, 'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10071, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10072, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.43/1.80    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.43/1.80    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 1.43/1.80    X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10073, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10074, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 10075, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.43/1.80    , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' )
% 1.43/1.80    , ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10076, [ ~( 
% 1.43/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 10077, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 1.43/1.80    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10078, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10079, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 1.43/1.80    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10080, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10081, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( 
% 1.43/1.80    'c_lessequals'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10082, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), 
% 1.43/1.80    'c_lessequals'( Y, Z, X ) ] )
% 1.43/1.80  , clause( 10083, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( 
% 1.43/1.80    'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( 
% 1.43/1.80    'c_lessequals'( Z, Y, X ) ) ] )
% 1.43/1.80  , clause( 10084, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 1.43/1.80  , clause( 10085, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.43/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 1.43/1.80  , clause( 10086, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.80     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.43/1.80    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10087, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.43/1.80     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.43/1.80    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10088, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.43/1.80  , clause( 10089, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.43/1.80     ) ) ) ] )
% 1.43/1.80  , clause( 10090, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.43/1.80     ) ) ) ] )
% 1.43/1.80  , clause( 10091, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.43/1.80    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.43/1.80    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10092, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.43/1.80    =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.80     ) ] )
% 1.43/1.80  , clause( 10093, [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 
% 1.43/1.80    'c_HOL_Oeq__class_Oeq'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10094, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.43/1.80    'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.43/1.80    , X ), Y ) ] )
% 1.43/1.80  , clause( 10095, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 10096, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.43/1.80    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.43/1.80    , X ) ) ] )
% 1.43/1.80  , clause( 10097, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.43/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10098, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.43/1.80    'v_sko__local__Xnz__1'( 'v_p' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 10099, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.43/1.80  , clause( 10100, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 10101, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 10102, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.80    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.43/1.80    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10103, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 10104, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 1.43/1.80     ) ) ] )
% 1.43/1.80  , clause( 10105, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.43/1.80    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.43/1.80    X ), X ) ) ] )
% 1.43/1.80  , clause( 10106, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10107, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.43/1.80    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.43/1.80    X ) ] )
% 1.43/1.80  , clause( 10108, [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 
% 1.43/1.80    'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10109, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10110, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.43/1.80     ), Z, 'tc_Polynomial_Opoly'( X ) ) ] )
% 1.43/1.80  , clause( 10111, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 1.43/1.80     ), Y, 'tc_Polynomial_Opoly'( X ) ) ] )
% 1.43/1.80  , clause( 10112, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.43/1.80    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.43/1.80     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.43/1.80    X ) ) ) ] )
% 1.43/1.80  , clause( 10113, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( 
% 1.43/1.80    'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.43/1.80    'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.43/1.80    'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.43/1.80     )
% 1.43/1.80  , clause( 10114, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.43/1.80    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.43/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10115, [ ~( 
% 1.43/1.80    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 10116, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10117, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10118, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 10119, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 1.43/1.80  , clause( 10120, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10121, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10122, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.43/1.80    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.43/1.80    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.43/1.80  , clause( 10123, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.43/1.80  , clause( 10124, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10125, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.43/1.80    X ), T, X ) ) ] )
% 1.43/1.80  , clause( 10126, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10127, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.43/1.80     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.43/1.80    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.43/1.80  , clause( 10128, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.43/1.80    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10129, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 1.43/1.80  , clause( 10130, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.43/1.80    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 1.43/1.80  , clause( 10131, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ), 
% 1.43/1.80    'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.43/1.80     ] )
% 1.43/1.80  , clause( 10132, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.43/1.80    , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 10133, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.43/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.43/1.80    , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 10134, [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10135, [ =( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.43/1.80  , clause( 10136, [ =( 'c_HOL_Oplus__class_Oplus'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), X ) ] )
% 1.43/1.80  , clause( 10137, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 
% 1.43/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T
% 1.43/1.80    , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X
% 1.43/1.80     ), T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.43/1.80    Y, X ), T, 'tc_nat' ) ) ] )
% 1.43/1.80  , clause( 10138, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.43/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, 
% 1.43/1.80    'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.43/1.80     ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ), 
% 1.43/1.80    'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 10139, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.43/1.80  , clause( 10140, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.43/1.80  , clause( 10141, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 10142, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.43/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.43/1.80  , clause( 10143, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.43/1.80  , clause( 10144, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.43/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.43/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 1.43/1.80  , clause( 10145, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 1.43/1.80  , clause( 10146, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.43/1.80    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.43/1.80     ), Y ) ] )
% 1.43/1.80  , clause( 10147, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.43/1.80    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.43/1.80  , clause( 10148, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.43/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.43/1.80    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.46/1.80    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.46/1.80  , clause( 10149, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.46/1.80    , Y, X ) ) ] )
% 1.46/1.80  , clause( 10150, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.46/1.80     ), Y ) ] )
% 1.46/1.80  , clause( 10151, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10152, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10153, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.46/1.80     ), Y ) ] )
% 1.46/1.80  , clause( 10154, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.46/1.80     ), Y ) ] )
% 1.46/1.80  , clause( 10155, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.46/1.80    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 1.46/1.80  , clause( 10156, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10157, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10158, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 1.46/1.80    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10159, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10160, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 
% 1.46/1.80    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10161, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.46/1.80    , Y, X ) ) ] )
% 1.46/1.80  , clause( 10162, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.46/1.80    , Y, X ) ) ] )
% 1.46/1.80  , clause( 10163, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.46/1.80     ), X ) ) ] )
% 1.46/1.80  , clause( 10164, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 1.46/1.80     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.46/1.80     ), X ) ) ] )
% 1.46/1.80  , clause( 10165, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.46/1.80    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 1.46/1.80  , clause( 10166, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.46/1.80    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 1.46/1.80  , clause( 10167, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.46/1.80    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10168, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.46/1.80    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10169, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10170, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 1.46/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.46/1.80    'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 1.46/1.80  , clause( 10171, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.46/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80    , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10172, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10173, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10174, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10175, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10176, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10177, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10178, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10179, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.46/1.80     ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10180, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.46/1.80     ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10181, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10182, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10183, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10184, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10185, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10186, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10187, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10188, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10189, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10190, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80    , X ) ] )
% 1.46/1.80  , clause( 10191, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10192, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10193, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.46/1.80    , X ) ) ] )
% 1.46/1.80  , clause( 10194, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10195, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 1.46/1.80    , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10196, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10197, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.46/1.80     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10198, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.46/1.80     ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.46/1.80     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10199, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 1.46/1.80    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10200, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 1.46/1.80    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10201, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10202, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10203, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10204, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10205, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10206, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10207, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10208, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.46/1.80    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, 
% 1.46/1.80    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10209, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.46/1.80    'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 1.46/1.80    , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10210, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10211, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10212, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10213, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 1.46/1.80    , X ), 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80     ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ) ) ] )
% 1.46/1.80  , clause( 10214, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ) ), 
% 1.46/1.80    =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10215, [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10216, [ ~( 'class_Lattices_Olattice'( X ) ), =( 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 1.46/1.80  , clause( 10217, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 1.46/1.80  , clause( 10218, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y )
% 1.46/1.80    , ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10219, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), 
% 1.46/1.80    Y ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.46/1.80  , clause( 10220, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.46/1.80    , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ] )
% 1.46/1.80  , clause( 10221, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ), 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 1.46/1.80    , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ] )
% 1.46/1.80  , clause( 10222, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), 
% 1.46/1.80    'c_Polynomial_Ocoeff'( Z, 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, 
% 1.46/1.80    Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 
% 1.46/1.80    Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10223, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.46/1.80    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10224, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10225, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.46/1.80    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.46/1.80  , clause( 10226, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.46/1.80  , clause( 10227, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10228, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10229, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10230, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10231, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.46/1.80    , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10232, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ), 
% 1.46/1.80    'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10233, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.46/1.80    'c_lessequals'( 'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.46/1.80    , 'tc_Polynomial_Opoly'( X ) ), X ), T, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), T, 'tc_nat' ) ), ~( 'c_lessequals'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), T, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10234, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10235, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.46/1.80    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.46/1.80  , clause( 10236, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.46/1.80    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 1.46/1.80  , clause( 10237, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.46/1.80    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.46/1.80  , clause( 10238, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.46/1.80    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 1.46/1.80  , clause( 10239, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.46/1.80    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.46/1.80  , clause( 10240, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 1.46/1.80  , clause( 10241, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10242, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10243, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.46/1.80  , clause( 10244, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.46/1.80  , clause( 10245, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10246, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.46/1.80    , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 1.46/1.80    , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10247, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10248, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.46/1.80    , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' )
% 1.46/1.80    , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10249, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.46/1.80    X ), X ) ) ] )
% 1.46/1.80  , clause( 10250, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Z, T, X ) ) ] )
% 1.46/1.80  , clause( 10251, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Z, T, X ) ) ] )
% 1.46/1.80  , clause( 10252, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.46/1.80    X ), X ) ) ] )
% 1.46/1.80  , clause( 10253, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10254, [ ~( 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10255, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 1.46/1.80    , Y, X ) ] )
% 1.46/1.80  , clause( 10256, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.46/1.80    , X ) ] )
% 1.46/1.80  , clause( 10257, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10258, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, 
% 1.46/1.80    Y, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10259, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10260, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 1.46/1.80    , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10261, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10262, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.46/1.80    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 1.46/1.80  , clause( 10263, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 1.46/1.80    , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10264, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 1.46/1.80     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10265, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.46/1.80    , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 1.46/1.80  , clause( 10266, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.46/1.80  , clause( 10267, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 1.46/1.80    , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10268, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), Y ), 
% 1.46/1.80    ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10269, [ =( 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 1.46/1.80  , clause( 10270, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.46/1.80    'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 1.46/1.80  , clause( 10271, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10272, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10273, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y )
% 1.46/1.80    , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10274, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.46/1.80    , X ), X ), Y ) ] )
% 1.46/1.80  , clause( 10275, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10276, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10277, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.46/1.80     ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10278, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 1.46/1.80  , clause( 10279, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.46/1.80     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.46/1.80    , Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10280, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.46/1.80     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.46/1.80    , T, X ), X ) ) ] )
% 1.46/1.80  , clause( 10281, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.46/1.80     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.46/1.80    , T, X ), X ) ) ] )
% 1.46/1.80  , clause( 10282, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 1.46/1.80     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.46/1.80    , Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10283, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y
% 1.46/1.80    , 'c_Suc'( Z ), X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X
% 1.46/1.80     ), 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ] )
% 1.46/1.80  , clause( 10284, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.46/1.80    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 1.46/1.80  , clause( 10285, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), T, 
% 1.46/1.80    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Z, X )
% 1.46/1.80    , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.46/1.80    Y, X ), T, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10286, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.46/1.80    , =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 
% 1.46/1.80    'c_Lattices_Olower__semilattice__class_Oinf'( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.46/1.80    , X ), X ), X ) ) ] )
% 1.46/1.80  , clause( 10287, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10288, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.46/1.80    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10289, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 1.46/1.80  , clause( 10290, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.46/1.80    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.46/1.80    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 1.46/1.80  , clause( 10291, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Omod'( Y, Z, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10292, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 1.46/1.80    , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 1.46/1.80     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 1.46/1.80  , clause( 10293, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 1.46/1.80  , clause( 10294, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.46/1.80    , X ) ) ] )
% 1.46/1.80  , clause( 10295, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.46/1.80    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.46/1.80    , X ) ) ] )
% 1.46/1.80  , clause( 10296, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10297, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.46/1.80    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10298, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.46/1.80    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.46/1.80  , clause( 10299, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 
% 1.46/1.80    ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10300, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.46/1.80    'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10301, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10302, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( 
% 1.46/1.80    Y, Z, X ), 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ] )
% 1.46/1.80  , clause( 10303, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.46/1.80    =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.46/1.80    , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 1.46/1.80  , clause( 10304, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.46/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.46/1.80  , clause( 10305, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.46/1.80     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.46/1.80  , clause( 10306, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    'c_lessequals'( 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X )
% 1.46/1.80    , X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10307, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    Y, X ) ) ] )
% 1.46/1.80  , clause( 10308, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    Y, X ) ) ] )
% 1.46/1.80  , clause( 10309, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 1.46/1.80    , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.46/1.80  , clause( 10310, [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10311, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    Y, X ) ) ] )
% 1.46/1.80  , clause( 10312, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.46/1.80    Y, X ) ) ] )
% 1.46/1.80  , clause( 10313, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10314, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.46/1.80     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 1.46/1.80  , clause( 10315, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.46/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10316, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.46/1.80    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10317, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ), =( Y, Z ) ] )
% 1.46/1.80  , clause( 10318, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.46/1.80     ) ), =( Y, Z ) ] )
% 1.46/1.80  , clause( 10319, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.46/1.80    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.46/1.80    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 1.46/1.80  , clause( 10320, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10321, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10322, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10323, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10324, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.46/1.80    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.46/1.80    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10325, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.46/1.80    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.46/1.80    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10326, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.46/1.80    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 1.46/1.80    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 1.46/1.80  , clause( 10327, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10328, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10329, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10330, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 1.46/1.80    'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10331, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10332, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10333, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10334, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10335, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80     ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10336, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ] )
% 1.46/1.80  , clause( 10337, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ] )
% 1.46/1.80  , clause( 10338, [ ~( 'class_HOL_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ), =( 'c_Polynomial_Ocoeff'( Z, 
% 1.46/1.80    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10339, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( Y
% 1.46/1.80    , Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10340, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10341, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 1.46/1.80     ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 
% 1.46/1.80    't_a' ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x', 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 1.46/1.80  , clause( 10342, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 1.46/1.80     ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 
% 1.46/1.80    't_a' ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x', 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 1.46/1.80  , clause( 10343, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( 
% 1.46/1.80    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' )
% 1.46/1.80    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10344, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xassms__1'( 'v_p' ), 't_a' )
% 1.46/1.80    , 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10345, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Oorder'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10346, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly'( 'v_p', 'v_sko__local__Xnz__1'( 'v_p' ), 't_a' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10347, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10348, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10349, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10350, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10351, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.46/1.80    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10352, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10353, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10354, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( 
% 1.46/1.80    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), 
% 1.46/1.80    =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10355, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ) ] )
% 1.46/1.80  , clause( 10356, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    ~( =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X
% 1.46/1.80     ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10357, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 1.46/1.80  , clause( 10358, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), 
% 1.46/1.80    'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ] )
% 1.46/1.80  , clause( 10359, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10360, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10361, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10362, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ] )
% 1.46/1.80  , clause( 10363, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ] )
% 1.46/1.80  , clause( 10364, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10365, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), 
% 1.46/1.80    ~( 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ] )
% 1.46/1.80  , clause( 10366, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10367, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 1.46/1.80  , clause( 10368, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 1.46/1.80  , clause( 10369, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10370, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10371, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 1.46/1.80  , clause( 10372, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.46/1.80    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 1.46/1.80  , clause( 10373, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    ~( =( 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_nat' ) ) ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10374, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    ~( =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10375, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_Polynomial_Opdivmod__rel'( T, Z, U, Y, X ) ) ] )
% 1.46/1.80  , clause( 10376, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.46/1.80     ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10377, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.46/1.80     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.46/1.80    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10378, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10379, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10380, [ ~( 'class_HOL_Ozero'( X ) ), =( 
% 1.46/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 'c_Suc'( 
% 1.46/1.80    'c_Polynomial_Odegree'( Y, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10381, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'( 
% 1.46/1.80    'c_Polynomial_Oorder'( Y, Z, X ), 'c_Polynomial_Odegree'( Z, X ), 
% 1.46/1.80    'tc_nat' ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X )
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10382, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.46/1.80    , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10383, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 
% 1.46/1.80    'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ), =( 
% 1.46/1.80    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10384, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ] )
% 1.46/1.80  , clause( 10385, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 1.46/1.80     ), 'c_Polynomial_Odegree'( Y, X ) ) ] )
% 1.46/1.80  , clause( 10386, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 1.46/1.80  , clause( 10387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ), 
% 1.46/1.80    'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ] )
% 1.46/1.80  , clause( 10388, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10389, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Oorder'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.46/1.80     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), 
% 1.46/1.80    ~( =( 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10390, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10391, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10392, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( 
% 1.46/1.80    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), 
% 1.46/1.80    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10393, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Osmult'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10394, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10395, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( 
% 1.46/1.80    Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), 
% 1.46/1.80    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10396, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10397, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10398, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10399, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), 
% 1.46/1.80    'c_Polynomial_Odegree'( Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10400, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 1.46/1.80  , clause( 10401, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 't_a'
% 1.46/1.80     ), 'v_sko__local__XpCons__2__1'( 'v_c____', 'v_cs____' ), 't_a' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10402, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 't_a'
% 1.46/1.80     ), 'v_sko__local__XpCons__Xprems__1'( 'v_c____', 'v_cs____' ), 't_a' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10403, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'( 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10404, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( 
% 1.46/1.80    Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.46/1.80     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.46/1.80  , clause( 10405, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_sko__local__XpCons__1__2'( 'v_cs____' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    't_a' ) ) ), =( 'c_Polynomial_Opoly'( 'v_cs____', X, 't_a' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    't_a' ) ) ] )
% 1.46/1.80  , clause( 10406, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_sko__local__XpCons__Xhyps__2'( 'v_cs____' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( 
% 1.46/1.80    'v_cs____', X, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 1.46/1.80  , clause( 10407, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_sko__local__XpCons__Xprems__1'( 'v_c____', 'v_cs____' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10408, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_sko__local__XpCons__2__1'( 'v_c____', 'v_cs____' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10409, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_sko__unknown__thm__ro4__2'( 'v_c____', 'v_cs____' ), 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =( 'v_c____', 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 
% 1.46/1.80    =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10411, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.46/1.80    'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.46/1.80  , clause( 10412, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 
% 1.46/1.80    'v_c____', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10413, [ 'class_Ring__and__Field_Oidom'( 't_a' ) ] )
% 1.46/1.80  , clause( 10414, [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( 't_a' ) ) ) ) ] )
% 1.46/1.80  , clause( 10415, [ ~( =( hAPP( 'v_x', X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.80    't_a' ) ) ), ~( =( 'c_Polynomial_Odegree'( X, 't_a' ), 
% 1.46/1.80    'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ), =( X, 
% 1.46/1.80    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10416, [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X )
% 1.46/1.80    , 't_a' ), 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.46/1.80    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.46/1.80    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    't_a' ) ) ) ] )
% 1.46/1.80  , clause( 10417, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ] )
% 1.46/1.80  , clause( 10418, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.46/1.80  , clause( 10419, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.46/1.80  , clause( 10420, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ono__zero__divisors'( X ) ] )
% 1.46/1.80  , clause( 10421, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.46/1.80  , clause( 10422, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.46/1.80  , clause( 10423, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.46/1.80  , clause( 10424, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.46/1.80  , clause( 10425, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.46/1.80  , clause( 10426, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.46/1.80  , clause( 10427, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.46/1.80  , clause( 10428, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.46/1.80  , clause( 10429, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Omult__zero'( X ) ] )
% 1.46/1.80  , clause( 10430, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.46/1.80  , clause( 10431, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.46/1.80  , clause( 10432, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Omonoid__add'( X ) ] )
% 1.46/1.80  , clause( 10433, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Ogroup__add'( X ) ] )
% 1.46/1.80  , clause( 10434, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Oring'( X ) ] )
% 1.46/1.80  , clause( 10435, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_Ring__and__Field_Odvd'( X ) ] )
% 1.46/1.80  , clause( 10436, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_HOL_Ozero'( X ) ] )
% 1.46/1.80  , clause( 10437, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.46/1.80    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ] )
% 1.46/1.80  , clause( 10438, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.46/1.80  , clause( 10439, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10440, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10441, [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ] )
% 1.46/1.80  , clause( 10442, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10443, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10444, [ 
% 1.46/1.80    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10445, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10446, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10447, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10448, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10449, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.46/1.80    'tc_nat' ) ] )
% 1.46/1.80  , clause( 10450, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10451, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10452, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10453, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10454, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10455, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10456, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10457, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10458, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10459, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10460, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10461, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10462, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10463, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10464, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10465, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10466, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10467, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10468, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10469, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10470, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10471, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10472, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10473, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10474, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10475, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10476, [ 'class_HOL_Oeq'( 'tc_nat' ) ] )
% 1.46/1.80  , clause( 10477, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10478, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10479, [ 
% 1.46/1.80    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10480, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10481, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10482, [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10483, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10484, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10485, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10486, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10487, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10488, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10489, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10490, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10491, [ 'class_RealVector_Oreal__normed__div__algebra'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10492, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10493, [ 'class_OrderedGroup_Olordered__ab__group__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10494, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10495, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10496, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10497, [ 'class_Ring__and__Field_Opordered__ring__abs'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10498, [ 'class_Ring__and__Field_Oordered__semiring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10499, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10500, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10501, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10502, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10503, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10504, [ 'class_RealVector_Oreal__normed__algebra'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10505, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10506, [ 'class_RealVector_Oreal__normed__vector'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10507, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10508, [ 'class_Ring__and__Field_Opordered__ring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10509, [ 'class_Ring__and__Field_Oordered__field'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10510, [ 'class_Ring__and__Field_Olordered__ring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10511, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10512, [ 'class_RealVector_Oreal__normed__field'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10513, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10514, [ 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10515, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10516, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10517, [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10518, [ 'class_Ring__and__Field_Omult__mono1'( 
% 1.46/1.80    'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10519, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10520, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10521, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10522, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal'
% 1.46/1.80     ) ] )
% 1.46/1.80  , clause( 10523, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10524, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10525, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10526, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10527, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10528, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10529, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10530, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 1.46/1.80     ] )
% 1.46/1.80  , clause( 10531, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10532, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10533, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10534, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10535, [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10536, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10537, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10538, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10539, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10540, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10541, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10542, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10543, [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ] )
% 1.46/1.80  , clause( 10544, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10545, [ 
% 1.46/1.80    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10546, [ 
% 1.46/1.80    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10547, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10548, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10549, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10550, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10551, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10552, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10553, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.46/1.80  , clause( 10554, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10555, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10556, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10557, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.46/1.80  , clause( 10558, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10559, [ 'class_Ring__and__Field_Opordered__ring__abs'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10560, [ 'class_Ring__and__Field_Oordered__semiring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10561, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.46/1.80     )
% 1.46/1.80  , clause( 10562, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10563, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.46/1.80  , clause( 10564, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.46/1.80  , clause( 10565, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.46/1.80  , clause( 10566, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10567, [ 'class_Ring__and__Field_Opordered__ring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10568, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.46/1.80  , clause( 10569, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10570, [ 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10571, [ 'class_Ring__and__Field_Ocomm__ring__1'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10572, [ 'class_Ring__and__Field_Omult__mono1'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10573, [ 'class_OrderedGroup_Oab__group__add'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10574, [ 'class_Ring__and__Field_Omult__zero'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.46/1.80  , clause( 10575, [ 'class_Ring__and__Field_Omult__mono'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( 
% 1.46/1.80    X ) ) ] )
% 1.46/1.80  , clause( 10576, [ 'class_Ring__and__Field_Ocomm__ring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 1.46/1.80     ) ) ] )
% 1.46/1.80  , clause( 10577, [ 'class_Ring__and__Field_Osemiring'( 
% 1.46/1.80    'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.80    'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.46/1.80  , clause( 10578, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 1.46/1.80  , clause( 10579, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 1.46/1.80  , clause( 10580, [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.46/1.80  , clause( 10581, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( 
% 1.46/1.80    X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.46/1.80  , clause( 10582, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X
% 1.46/1.80     ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 1.46/1.80  , clause( 10583, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 1.46/1.80     ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 1.46/1.80  , clause( 10584, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 1.46/1.80     ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 1.46/1.80  , clause( 10585, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X
% 1.46/1.80     ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.46/1.80  , clause( 10586, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 1.46/1.80     ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.46/1.80  , clause( 10587, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 1.46/1.80     ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.46/1.80  , clause( 10588, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80    , ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 1.46/1.80  , clause( 10589, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), 
% 1.46/1.80    ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.46/1.80  , clause( 10590, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.46/1.80    , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 1.46/1.82  , clause( 10591, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.82    'class_HOL_Ozero'( X ) ) ] )
% 1.46/1.82  , clause( 10592, [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 
% 1.46/1.82    'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ) ] )
% 1.46/1.82  ] ).
% 1.46/1.82  
% 1.46/1.82  
% 1.46/1.82  
% 1.46/1.82  eqswap(
% 1.46/1.82  clause( 11800, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ), 'v_cs____' ) ) ] )
% 1.46/1.82  , clause( 10414, [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 
% 1.46/1.82    'tc_Polynomial_Opoly'( 't_a' ) ) ) ) ] )
% 1.46/1.82  , 0, substitution( 0, [] )).
% 1.46/1.82  
% 1.46/1.82  
% 1.46/1.82  subsumption(
% 1.46/1.82  clause( 949, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ), 'v_cs____' ) ) ] )
% 1.46/1.82  , clause( 11800, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ), 'v_cs____' ) ) ] )
% 1.46/1.82  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.46/1.82  
% 1.46/1.82  
% 1.46/1.82  subsumption(
% 1.46/1.82  clause( 951, [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 
% 1.46/1.82    't_a' ), 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.46/1.82    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.46/1.82    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ) ) ] )
% 1.46/1.82  , clause( 10416, [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X )
% 1.46/1.82    , 't_a' ), 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.46/1.82    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.46/1.82    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ) ) ] )
% 1.46/1.82  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 1.46/1.82    1 ), ==>( 2, 2 )] ) ).
% 1.46/1.82  
% 1.46/1.82  
% 1.46/1.82  eqswap(
% 1.46/1.82  clause( 13023, [ ~( =( 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ), 
% 1.46/1.82    'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.46/1.82    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.46/1.82    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.46/1.82    't_a' ) ) ) ] )
% 1.46/1.82  , clause( 951, [ ~( =( 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 
% 1.46/1.82    't_a' ), 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.46/1.82    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.47/1.82    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ) ) ] )
% 1.47/1.82  , 0, substitution( 0, [ :=( X, X )] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  eqrefl(
% 1.47/1.82  clause( 13030, [ ~( =( 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ), 
% 1.47/1.82    'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ), =( 'v_cs____', 
% 1.47/1.82    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ) ] )
% 1.47/1.82  , clause( 13023, [ ~( =( 'c_Polynomial_Opoly'( X, hAPP( 'v_x', X ), 't_a' )
% 1.47/1.82    , 'c_Polynomial_Opoly'( 'v_cs____', hAPP( 'v_x', X ), 't_a' ) ) ), ~( =( 
% 1.47/1.82    'c_Polynomial_Odegree'( X, 't_a' ), 'c_Polynomial_Odegree'( 'v_cs____', 
% 1.47/1.82    't_a' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ) ) ] )
% 1.47/1.82  , 0, substitution( 0, [ :=( X, 'v_cs____' )] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  eqrefl(
% 1.47/1.82  clause( 13032, [ =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 
% 1.47/1.82    'tc_Polynomial_Opoly'( 't_a' ) ) ) ] )
% 1.47/1.82  , clause( 13030, [ ~( =( 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ), 
% 1.47/1.82    'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ), =( 'v_cs____', 
% 1.47/1.82    'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ) ] )
% 1.47/1.82  , 0, substitution( 0, [] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  eqswap(
% 1.47/1.82  clause( 13033, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ), 'v_cs____' ) ] )
% 1.47/1.82  , clause( 13032, [ =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 
% 1.47/1.82    'tc_Polynomial_Opoly'( 't_a' ) ) ) ] )
% 1.47/1.82  , 0, substitution( 0, [] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 1366, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 1.47/1.82     ) ), 'v_cs____' ) ] )
% 1.47/1.82  , clause( 13033, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ), 'v_cs____' ) ] )
% 1.47/1.82  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  resolution(
% 1.47/1.82  clause( 13036, [] )
% 1.47/1.82  , clause( 949, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ), 'v_cs____' ) ) ] )
% 1.47/1.82  , 0, clause( 1366, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 
% 1.47/1.82    't_a' ) ), 'v_cs____' ) ] )
% 1.47/1.82  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  subsumption(
% 1.47/1.82  clause( 9309, [] )
% 1.47/1.82  , clause( 13036, [] )
% 1.47/1.82  , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  end.
% 1.47/1.82  
% 1.47/1.82  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.47/1.82  
% 1.47/1.82  Memory use:
% 1.47/1.82  
% 1.47/1.82  space for terms:        295727
% 1.47/1.82  space for clauses:      496510
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  clauses generated:      27267
% 1.47/1.82  clauses kept:           9310
% 1.47/1.82  clauses selected:       493
% 1.47/1.82  clauses deleted:        2
% 1.47/1.82  clauses inuse deleted:  0
% 1.47/1.82  
% 1.47/1.82  subsentry:          66907
% 1.47/1.82  literals s-matched: 43063
% 1.47/1.82  literals matched:   41993
% 1.47/1.82  full subsumption:   18164
% 1.47/1.82  
% 1.47/1.82  checksum:           1952732814
% 1.47/1.82  
% 1.47/1.82  
% 1.47/1.82  Bliksem ended
%------------------------------------------------------------------------------