Bliksem---1.12.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV573-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:26:48 EDT 2022

% Result   : Unsatisfiable 5.54s 5.95s
% Output   : Refutation 5.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV573-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Thu Jun 16 05:37:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.02/1.44  *** allocated 10000 integers for termspace/termends
% 1.02/1.44  *** allocated 10000 integers for clauses
% 1.02/1.44  *** allocated 10000 integers for justifications
% 1.02/1.44  *** allocated 15000 integers for termspace/termends
% 1.02/1.44  *** allocated 22500 integers for termspace/termends
% 1.02/1.44  *** allocated 33750 integers for termspace/termends
% 1.02/1.44  Bliksem 1.12
% 1.02/1.44  
% 1.02/1.44  
% 1.02/1.44  Automatic Strategy Selection
% 1.02/1.44  
% 1.02/1.44  Clauses:
% 1.02/1.44  [
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.44    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.44    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.44    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.44    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.44     [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.02/1.44     ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 1.02/1.44     ), 'tc_RealDef_Oreal' ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.02/1.44    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.02/1.44    X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.02/1.44    X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.44     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.44    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.02/1.44    , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.44     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.02/1.44    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.02/1.44    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.44    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.02/1.44    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.02/1.44    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.02/1.44    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~( 
% 1.02/1.44    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.02/1.44    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.44     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.02/1.44     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.44    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.44    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.02/1.44    T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.02/1.44    X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.02/1.44    T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    T, X ), X ) ) ],
% 1.02/1.44     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.44    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.44    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    Y, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.44    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.02/1.44    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.02/1.44    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.02/1.44    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.02/1.44    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.02/1.44    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, Z, X ) ) ],
% 1.02/1.44     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X, 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.44    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.44    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.44    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.02/1.44    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.02/1.44    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.02/1.44    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 1.02/1.44     ) ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.02/1.44    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.44    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.02/1.44     [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), Y, 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ =( 'c_Complex_ORe'( 'c_Complex_Oii' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.44    , Z ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.44     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.44     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.02/1.44    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.44    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.02/1.44    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44    , Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.02/1.44    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.44    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.44    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.44     ), =( Z, Y ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( =( 'c_Complex_Oii', 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.44    'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.44     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.44    , X ) ) ), =( Y, Z ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.44    , X ) ) ), =( Y, Z ) ],
% 1.02/1.44     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ =( 'c_Complex_ORe'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.44    'tc_Complex_Ocomplex' ) ), 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.02/1.44    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( 
% 1.02/1.44    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), 
% 1.02/1.44    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.44    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.44    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.44    , X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.44    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.02/1.44     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( 
% 1.02/1.44    Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.44    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.44    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.44    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.44    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.02/1.44    X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 1.02/1.44    'tc_nat' ), X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.44    , T, X ), X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 1.02/1.44    , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.44    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.02/1.44    X ) ) ), =( Z, T ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.02/1.44    X ) ) ), =( Z, T ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.02/1.44    X ) ) ), =( Y, T ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.44    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.02/1.44    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ), 
% 1.02/1.44    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.02/1.44    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.44     ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.44     [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.44    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 1.02/1.44    'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.44    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.44    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.44    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.44    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.44    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.44    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.44    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.44    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.02/1.44    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.02/1.44    'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.02/1.44    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.44    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ), 
% 1.02/1.44    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.02/1.44    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.44    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.02/1.44    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.44     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.44    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.44     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.02/1.44    Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ), 
% 1.02/1.44    'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.44     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.02/1.44    Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ), 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44    , T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.02/1.44    W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44    , X ), W, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.02/1.44    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.02/1.44    W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.44    , X ), T, X ), W, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.02/1.44    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.44    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( 
% 1.02/1.44    'c_Log_Opowr'( X, Z ), Y ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.44     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.44    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( 
% 1.02/1.44    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ), 
% 1.02/1.44    =( Y, Z ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.44    , X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.44    , X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.44    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.44    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.02/1.44    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44     ],
% 1.02/1.44     [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.44    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.44    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.44    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.44    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.02/1.44    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.02/1.44     ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.02/1.44    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.02/1.44     ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.44     ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.02/1.44     ), Y ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.44     ), X ), Y ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.44     [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.02/1.44     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44    , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.02/1.44    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.02/1.44    'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.44    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , Y, X ) ) ],
% 1.02/1.44     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.44    , Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.44    , T, X ), X ), T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.44    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.44    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.02/1.44    , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.44     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.02/1.44     ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.44    , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( 
% 1.02/1.44    Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.02/1.44     ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44    , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.44    , X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.44    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44    ,
% 1.02/1.44     [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ), 
% 1.02/1.44    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ), 
% 1.02/1.44    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.44    , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44     ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44     ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.02/1.44    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.44    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.44     ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.02/1.44    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U, 
% 1.02/1.44    X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44     [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.44    'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 1.02/1.44    , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.02/1.44    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 1.02/1.44     [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 1.02/1.44    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44     ],
% 1.02/1.44     [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 1.02/1.44    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44     ) ],
% 1.02/1.44     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ), 
% 1.02/1.44    'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 1.02/1.44    'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ), 
% 1.02/1.44    'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 1.02/1.44     ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Oof__real'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ), X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.44    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.02/1.44    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.02/1.44    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.44     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 1.02/1.44    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44    , X ), W, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.44    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.02/1.44    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 1.02/1.44    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44    , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44     [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.02/1.44    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.44    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.44    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.44     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.44    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.44    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.44     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.44    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.02/1.44     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.02/1.44    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.44    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.44    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.44    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.44    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.02/1.44    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.44     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.44    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.44    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.02/1.45     ) ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.45    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.45    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.02/1.45    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.45    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.45     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.02/1.45    Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.45    , T, X ), X ), T, X ) ) ],
% 1.02/1.45     [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.02/1.45     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.02/1.45     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.45    , Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.02/1.45    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , Z, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.02/1.45    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.02/1.45    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , Z, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.02/1.45    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.02/1.45    Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.45    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.02/1.45     ],
% 1.02/1.45     [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.02/1.45     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.02/1.45    , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocnj'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.02/1.45    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.45    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.45    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.45     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.45     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.45     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.45     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.45    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.45    , T, X ) ) ), =( Z, T ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.45    , T, X ) ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.02/1.45    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.02/1.45    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.45    , T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.02/1.45     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.45     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.45     ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.45     ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.02/1.45     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.45    Y, Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.45    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.45    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.45    , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.45    , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.45    , X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.45     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( X
% 1.02/1.45    , 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_Complex_Oii' ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.45    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.45    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.45    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.45    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.02/1.45    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.02/1.45    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.45    , U, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.45     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'( 
% 1.02/1.45    X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.45     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.02/1.45     ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.02/1.45     ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.45    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.45     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.45     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.45    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.02/1.45    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.02/1.45    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , T, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , T, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.45    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.02/1.45     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 1.02/1.45    W, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.45     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.45    , X ), T, X ), W, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.45    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.02/1.45     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 1.02/1.45    W, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.45     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.45    , X ), W, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.45    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.02/1.45     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 1.02/1.45    Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.45     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.45     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.45    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.45    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.45    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.45    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.02/1.45     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.45    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.45    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.02/1.45    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 1.02/1.45    X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 
% 1.02/1.45    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.02/1.45    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.45    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.45    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.02/1.45     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.02/1.45     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.45     ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.02/1.45    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.02/1.45    , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.02/1.45    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi', 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 1.02/1.45    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.45    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.45    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 1.02/1.45    X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.45     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =( 
% 1.02/1.45    'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.45     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.02/1.45    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.45     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.45    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.45    'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.45    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.45    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 1.02/1.45    'c_Complex_OIm'( X ) ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.02/1.45    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.02/1.45    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.02/1.45    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.02/1.45    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.45    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.45    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 1.02/1.45     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.45    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.02/1.45     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.45    , X ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.45    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.45    'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 1.02/1.45    'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.02/1.45    , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( 
% 1.02/1.45    Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.45    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    Y, T, X ), Z, X ) ) ],
% 1.02/1.45     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.45     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    X ), T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.45     ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 1.02/1.45    Z, Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.02/1.45    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.45     ), Y ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.45    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.45    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.45    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.45    , Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ), Y ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ), Y ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.45     ), Y ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.02/1.45    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.02/1.45    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.02/1.45    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.02/1.45    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.45     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.45     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.02/1.45    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.02/1.45    , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.02/1.45     ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 1.02/1.45     ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'( 
% 1.02/1.45    Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.02/1.45    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.02/1.45    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.02/1.45    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.02/1.45    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.45    Z, X ), X ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.02/1.45     ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.02/1.45    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.02/1.45    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.02/1.45    X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.02/1.45    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.02/1.45    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.45    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.45    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.45    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.45    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Z, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Z, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.45    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.02/1.45    X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.45    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.45     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.02/1.45    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.02/1.45    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.45     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.45     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.02/1.45    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.45    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.45    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.45    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.45    'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.02/1.45    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.02/1.45    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.02/1.45    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.02/1.45    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.02/1.45    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.02/1.45     ), X ), Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.45    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 1.02/1.45    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.45    , X ), X ), Y ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.45    , T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.45    , T, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.02/1.45     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.02/1.45    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.45    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.45    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Odist__norm'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.02/1.45    , X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.45    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.02/1.45    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.02/1.45    Y, X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.02/1.45    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.45     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.45     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.02/1.45    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.02/1.45    'c_lessequals'( Z, Y, X ) ],
% 1.02/1.45     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.45    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.45    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.45     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.02/1.45    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.02/1.45    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.02/1.45     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.45     ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.02/1.45    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.02/1.45    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( 
% 1.02/1.45    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.02/1.45    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 1.02/1.45    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 1.02/1.45    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.02/1.45    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.45     ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 1.02/1.45    'tc_nat' ), X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.02/1.45    'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.02/1.45     [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.02/1.45     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.02/1.45    'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 1.02/1.45     ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.45    , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), 
% 1.02/1.45    'c_Complex_Oii' ) ],
% 1.02/1.45     [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.02/1.45    X, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_Complex_Ocomplex' ) ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), Y ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'( 
% 1.02/1.45    Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocnj'( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.45     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.02/1.45    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.02/1.45    'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 1.02/1.45    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.02/1.45    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.45     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 1.02/1.45    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.02/1.45    , X ), X ) ],
% 1.02/1.45     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.02/1.45    , X ), X ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( X, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( Y, 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.45     ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ), 'c_RealVector_Oof__real'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'( 
% 1.02/1.45    Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ), 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( Y
% 1.02/1.45    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Oof__real'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, 
% 1.02/1.45    'tc_RealDef_Oreal' ), X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) )
% 1.02/1.45     ],
% 1.02/1.45     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 1.02/1.45    'c_RealVector_Onorm__class_Onorm'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.02/1.45    Y, X ), X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, 'tc_RealDef_Oreal'
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.45     ) ) ],
% 1.02/1.45     [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 1.02/1.45    'tc_RealDef_Oreal' ) ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.02/1.45     [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 1.02/1.45    'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.02/1.45     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.45     [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 1.02/1.45    'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( 
% 1.02/1.45    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 1.02/1.45    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.02/1.45    'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.02/1.45    'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.02/1.45    'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 1.02/1.45    'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.02/1.45    'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.02/1.45     ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.02/1.45     ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45    ,
% 1.02/1.45     [ 'class_RealVector_Oreal__div__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Osgn__div__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.45     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.45  ] .
% 1.02/1.45  
% 1.02/1.45  
% 1.02/1.45  percentage equality = 0.211312, percentage horn = 0.845543
% 1.02/1.45  This is a problem with some equality
% 1.02/1.45  
% 1.02/1.45  
% 1.02/1.45  
% 1.02/1.45  Options Used:
% 1.02/1.45  
% 1.02/1.45  useres =            1
% 1.02/1.45  useparamod =        1
% 1.02/1.45  useeqrefl =         1
% 1.02/1.45  useeqfact =         1
% 1.02/1.45  usefactor =         1
% 1.02/1.45  usesimpsplitting =  0
% 1.02/1.45  usesimpdemod =      5
% 1.02/1.45  usesimpres =        3
% 1.02/1.45  
% 1.02/1.45  resimpinuse      =  1000
% 1.02/1.45  resimpclauses =     20000
% 1.02/1.45  substype =          eqrewr
% 1.02/1.45  backwardsubs =      1
% 1.02/1.45  selectoldest =      5
% 1.02/1.45  
% 1.02/1.45  litorderings [0] =  split
% 1.02/1.45  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.02/1.45  
% 1.02/1.45  termordering =      kbo
% 1.02/1.45  
% 1.02/1.45  litapriori =        0
% 1.02/1.45  termapriori =       1
% 1.02/1.45  litaposteriori =    0
% 1.02/1.45  termaposteriori =   0
% 1.02/1.45  demodaposteriori =  0
% 1.02/1.45  ordereqreflfact =   0
% 1.02/1.45  
% 1.02/1.45  litselect =         negord
% 1.02/1.45  
% 1.02/1.45  maxweight =         15
% 1.02/1.45  maxdepth =          30000
% 1.02/1.45  maxlength =         115
% 1.02/1.45  maxnrvars =         195
% 1.02/1.45  excuselevel =       1
% 1.02/1.45  increasemaxweight = 1
% 1.02/1.45  
% 1.02/1.45  maxselected =       10000000
% 1.02/1.45  maxnrclauses =      10000000
% 1.02/1.45  
% 1.02/1.45  showgenerated =    0
% 1.02/1.45  showkept =         0
% 1.02/1.45  showselected =     0
% 1.02/1.45  showdeleted =      0
% 1.02/1.45  showresimp =       1
% 1.02/1.45  showstatus =       2000
% 1.02/1.45  
% 1.02/1.45  prologoutput =     1
% 1.02/1.45  nrgoals =          5000000
% 1.02/1.45  totalproof =       1
% 1.02/1.45  
% 1.02/1.45  Symbols occurring in the translation:
% 1.02/1.45  
% 1.02/1.45  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.02/1.45  .  [1, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 1.02/1.45  !  [4, 1]      (w:0, o:55, a:1, s:1, b:0), 
% 1.02/1.45  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.02/1.45  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.02/1.45  'class_Orderings_Oorder'  [40, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 1.02/1.45  'c_HOL_Oord__class_Oless'  [43, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 1.02/1.45  'c_lessequals'  [44, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 1.02/1.45  'class_Divides_Osemiring__div'  [45, 1]      (w:1, o:63, a:1, s:1, b:0), 
% 1.02/1.45  'c_Divides_Odiv__class_Odiv'  [48, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 1.02/1.45  'c_HOL_Otimes__class_Otimes'  [49, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 1.02/1.45  'c_Divides_Odiv__class_Omod'  [50, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 1.02/1.45  'c_HOL_Oplus__class_Oplus'  [51, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 1.02/1.45  'class_OrderedGroup_Opordered__ab__group__add'  [53, 1]      (w:1, o:65, a:
% 1.02/1.45    1, s:1, b:0), 
% 1.02/1.45  'c_HOL_Ominus__class_Ominus'  [54, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 1.02/1.45  'class_Ring__and__Field_Oordered__field'  [57, 1]      (w:1, o:67, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'class_Ring__and__Field_Odivision__by__zero'  [58, 1]      (w:1, o:70, a:1
% 1.02/1.45    , s:1, b:0), 
% 1.02/1.45  'class_Int_Onumber'  [59, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 1.02/1.45  'c_Int_Onumber__class_Onumber__of'  [61, 2]      (w:1, o:173, a:1, s:1, b:0
% 1.02/1.45    ), 
% 1.02/1.45  'c_HOL_Oinverse__class_Odivide'  [62, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 1.02/1.45    
% 1.02/1.45  'c_HOL_Ozero__class_Ozero'  [63, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.02/1.45  'class_RealVector_Oreal__algebra__1'  [64, 1]      (w:1, o:73, a:1, s:1, b:
% 1.02/1.45    0), 
% 1.02/1.45  'tc_RealDef_Oreal'  [65, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 1.02/1.45  'c_RealVector_Oof__real'  [66, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 1.02/1.45  'class_Ring__and__Field_Odivision__ring'  [67, 1]      (w:1, o:74, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'c_HOL_Oinverse__class_Oinverse'  [68, 2]      (w:1, o:169, a:1, s:1, b:0)
% 1.02/1.45    , 
% 1.02/1.45  'tc_Complex_Ocomplex'  [69, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 1.02/1.45  'c_HOL_Oone__class_Oone'  [70, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 1.02/1.45  'c_Complex_ORe'  [71, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 1.02/1.45  'class_Ring__and__Field_Oordered__semiring__strict'  [72, 1]      (w:1, o:
% 1.02/1.45    78, a:1, s:1, b:0), 
% 1.02/1.45  'class_RealVector_Osgn__div__norm'  [74, 1]      (w:1, o:88, a:1, s:1, b:0)
% 1.02/1.45    , 
% 1.02/1.45  'c_HOL_Osgn__class_Osgn'  [75, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 1.02/1.45  'c_RealVector_Onorm__class_Onorm'  [76, 2]      (w:1, o:174, a:1, s:1, b:0)
% 1.02/1.45    , 
% 1.02/1.45  'c_RealVector_OscaleR__class_OscaleR'  [77, 3]      (w:1, o:191, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'class_OrderedGroup_Oab__semigroup__idem__mult'  [78, 1]      (w:1, o:89
% 1.02/1.45    , a:1, s:1, b:0), 
% 1.02/1.45  'c_Complex_Ocomplex_OComplex'  [79, 2]      (w:1, o:176, a:1, s:1, b:0), 
% 1.02/1.45  'class_RealVector_Ometric__space'  [80, 1]      (w:1, o:90, a:1, s:1, b:0)
% 1.02/1.45    , 
% 1.02/1.45  'c_RealVector_Odist__class_Odist'  [81, 3]      (w:1, o:192, a:1, s:1, b:0)
% 1.02/1.45    , 
% 1.02/1.45  'class_RealVector_Oreal__vector'  [83, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 1.02/1.45    
% 1.02/1.45  'class_Ring__and__Field_Oordered__ring__strict'  [84, 1]      (w:1, o:77
% 1.02/1.45    , a:1, s:1, b:0), 
% 1.02/1.45  'class_Ring__and__Field_Oidom'  [85, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 1.02/1.45  'class_Int_Onumber__ring'  [86, 1]      (w:1, o:92, a:1, s:1, b:0), 
% 1.02/1.45  'c_Log_Opowr'  [88, 2]      (w:1, o:177, a:1, s:1, b:0), 
% 1.02/1.45  'class_Ring__and__Field_Opordered__ring'  [89, 1]      (w:1, o:97, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'class_Ring__and__Field_Omult__mono'  [90, 1]      (w:1, o:99, a:1, s:1, b:
% 1.02/1.45    0), 
% 1.02/1.45  'class_Ring__and__Field_Omult__mono1'  [91, 1]      (w:1, o:100, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'class_Ring__and__Field_Ofield'  [92, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 1.02/1.45    
% 1.02/1.45  'class_RealVector_Oreal__normed__field'  [93, 1]      (w:1, o:80, a:1, s:1
% 1.02/1.45    , b:0), 
% 1.02/1.45  'c_HOL_Ouminus__class_Ouminus'  [95, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 1.02/1.45  'class_RealVector_Oreal__normed__vector'  [96, 1]      (w:1, o:81, a:1, s:1
% 3.68/4.07    , b:0), 
% 3.68/4.07  'c_NthRoot_Osqrt'  [97, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Oordered__semidom'  [98, 1]      (w:1, o:93, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_RealVector_Oreal__div__algebra'  [99, 1]      (w:1, o:82, a:1, s:1
% 3.68/4.07    , b:0), 
% 3.68/4.07  'class_OrderedGroup_Ogroup__add'  [100, 1]      (w:1, o:103, a:1, s:1, b:0)
% 3.68/4.07    , 
% 3.68/4.07  'class_OrderedGroup_Opordered__ab__group__add__abs'  [101, 1]      (w:1, o:
% 3.68/4.07    104, a:1, s:1, b:0), 
% 3.68/4.07  'c_HOL_Oabs__class_Oabs'  [102, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 3.68/4.07  'c_Transcendental_Ocos'  [103, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 3.68/4.07  'class_Orderings_Olinorder'  [104, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Opordered__cancel__semiring'  [105, 1]      (w:1
% 3.68/4.07    , o:107, a:1, s:1, b:0), 
% 3.68/4.07  'class_RealVector_Oreal__normed__algebra'  [106, 1]      (w:1, o:83, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Oab__semigroup__mult'  [108, 1]      (w:1, o:108, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Ocomm__semiring__1'  [109, 1]      (w:1, o:68, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Ocomm__semiring'  [121, 1]      (w:1, o:69, a:1, s:
% 3.68/4.07    1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Olordered__ab__group__add'  [122, 1]      (w:1, o:109
% 3.68/4.07    , a:1, s:1, b:0), 
% 3.68/4.07  'c_Transcendental_Osin'  [123, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Oordered__idom'  [124, 1]      (w:1, o:94, a:1, s:1
% 3.68/4.07    , b:0), 
% 3.68/4.07  'class_Ring__and__Field_Oring'  [126, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 3.68/4.07    
% 3.68/4.07  'class_Ring__and__Field_Opordered__semiring'  [127, 1]      (w:1, o:113, a:
% 3.68/4.07    1, s:1, b:0), 
% 3.68/4.07  'class_Divides_Oring__div'  [128, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 3.68/4.07  'c_NthRoot_Oroot'  [130, 2]      (w:1, o:178, a:1, s:1, b:0), 
% 3.68/4.07  'c_Complex_Oii'  [131, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 3.68/4.07  'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'  [132, 2]      (w:1
% 3.68/4.07    , o:180, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Opordered__ring__abs'  [133, 1]      (w:1, o:112
% 3.68/4.07    , a:1, s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [134, 1]      
% 3.68/4.07    (w:1, o:114, a:1, s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Opordered__ab__semigroup__add'  [135, 1]      (w:1, o:
% 3.68/4.07    115, a:1, s:1, b:0), 
% 3.68/4.07  'class_Lattices_Oboolean__algebra'  [136, 1]      (w:1, o:116, a:1, s:1, b:
% 3.68/4.07    0), 
% 3.68/4.07  'class_OrderedGroup_Olordered__ab__group__add__abs'  [137, 1]      (w:1, o:
% 3.68/4.07    117, a:1, s:1, b:0), 
% 3.68/4.07  'c_Transcendental_Opi'  [139, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Opordered__comm__monoid__add'  [140, 1]      (w:1, o:
% 3.68/4.07    118, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Osgn__if'  [141, 1]      (w:1, o:120, a:1, s:1, b:0
% 3.68/4.07    ), 
% 3.68/4.07  'c_Transcendental_Oarctan'  [143, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Oab__group__add'  [144, 1]      (w:1, o:122, a:1, s:1
% 3.68/4.07    , b:0), 
% 3.68/4.07  'tc_nat'  [145, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 3.68/4.07  'c_Fact_Ofact__class_Ofact'  [146, 2]      (w:1, o:181, a:1, s:1, b:0), 
% 3.68/4.07  'c_Nat_Osemiring__1__class_Oof__nat'  [147, 2]      (w:1, o:179, a:1, s:1
% 3.68/4.07    , b:0), 
% 3.68/4.07  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [148, 1]      (w:1, o:123
% 3.68/4.07    , a:1, s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Ocancel__semigroup__add'  [149, 1]      (w:1, o:124, a:
% 3.68/4.07    1, s:1, b:0), 
% 3.68/4.07  'class_RealVector_Oreal__normed__div__algebra'  [150, 1]      (w:1, o:84
% 3.68/4.07    , a:1, s:1, b:0), 
% 3.68/4.07  'class_RealVector_Oreal__normed__algebra__1'  [151, 1]      (w:1, o:85, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_RealVector_Oreal__algebra'  [152, 1]      (w:1, o:86, a:1, s:1, b:0)
% 3.68/4.07    , 
% 3.68/4.07  'class_SEQ_Obanach'  [153, 1]      (w:1, o:131, a:1, s:1, b:0), 
% 3.68/4.07  'c_Transcendental_Oexp'  [154, 2]      (w:1, o:182, a:1, s:1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Oabs__if'  [156, 1]      (w:1, o:125, a:1, s:1, b:0
% 3.68/4.07    ), 
% 3.68/4.07  'class_Ring__and__Field_Oordered__semiring'  [157, 1]      (w:1, o:95, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Ocomm__monoid__add'  [159, 1]      (w:1, o:132, a:1, s:
% 3.68/4.07    1, b:0), 
% 3.68/4.07  'class_Ring__and__Field_Olordered__ring'  [160, 1]      (w:1, o:98, a:1, s:
% 3.68/4.07    1, b:0), 
% 3.68/4.07  'class_OrderedGroup_Omonoid__mult'  [161, 1]      (w:1, o:133, a:1, s:1, b:
% 3.68/4.07    0), 
% 3.68/4.07  'class_OrderedGroup_Ocomm__monoid__mult'  [162, 1]      (w:1, o:134, a:1
% 3.68/4.07    , s:1, b:0), 
% 3.68/4.07  'c_Transcendental_Otan'  [163, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 5.54/5.95  'c_Complex_Ocnj'  [164, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 5.54/5.95  'class_Orderings_Opreorder'  [165, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 5.54/5.95  'class_RealVector_Oreal__field'  [166, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 5.54/5.95    
% 5.54/5.95  'c_Complex_Oarg'  [167, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 5.54/5.95  'class_OrderedGroup_Oordered__ab__group__add'  [168, 1]      (w:1, o:64, a:
% 5.54/5.95    1, s:1, b:0), 
% 5.54/5.95  'c_Complex_OIm'  [171, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 5.54/5.95  'class_OrderedGroup_Oab__semigroup__add'  [172, 1]      (w:1, o:140, a:1
% 5.54/5.95    , s:1, b:0), 
% 5.54/5.95  'class_Ring__and__Field_Osemiring'  [173, 1]      (w:1, o:126, a:1, s:1, b:
% 5.54/5.95    0), 
% 5.54/5.95  'class_Int_Oring__char__0'  [174, 1]      (w:1, o:141, a:1, s:1, b:0), 
% 5.54/5.95  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [175, 1]      
% 5.54/5.95    (w:1, o:142, a:1, s:1, b:0), 
% 5.54/5.95  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [176, 1]      
% 5.54/5.95    (w:1, o:96, a:1, s:1, b:0), 
% 5.54/5.95  'class_Ring__and__Field_Oring__no__zero__divisors'  [177, 1]      (w:1, o:
% 5.54/5.95    119, a:1, s:1, b:0), 
% 5.54/5.95  'class_Ring__and__Field_Omult__zero'  [178, 1]      (w:1, o:127, a:1, s:1
% 5.54/5.95    , b:0), 
% 5.54/5.95  'class_Ring__and__Field_Ozero__neq__one'  [179, 1]      (w:1, o:128, a:1
% 5.54/5.95    , s:1, b:0), 
% 5.54/5.95  'class_Ring__and__Field_Ono__zero__divisors'  [180, 1]      (w:1, o:66, a:1
% 5.54/5.95    , s:1, b:0), 
% 5.54/5.95  'class_RealVector_Odist__norm'  [183, 1]      (w:1, o:129, a:1, s:1, b:0), 
% 5.54/5.95    
% 5.54/5.95  'class_OrderedGroup_Omonoid__add'  [184, 1]      (w:1, o:143, a:1, s:1, b:0
% 5.54/5.95    ), 
% 5.54/5.95  'class_Ring__and__Field_Osemiring__1'  [185, 1]      (w:1, o:130, a:1, s:1
% 5.54/5.95    , b:0), 
% 5.54/5.95  'class_Nat_Osemiring__char__0'  [186, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 5.54/5.95  'v_n'  [191, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 5.54/5.95  'tc_Int_Oint'  [192, 0]      (w:1, o:54, a:1, s:1, b:0).
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Starting Search:
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    3363
% 5.54/5.95  Kept:         2057
% 5.54/5.95  Inuse:        124
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    8348
% 5.54/5.95  Kept:         4089
% 5.54/5.95  Inuse:        204
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    15035
% 5.54/5.95  Kept:         6108
% 5.54/5.95  Inuse:        234
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    22077
% 5.54/5.95  Kept:         8910
% 5.54/5.95  Inuse:        299
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    28297
% 5.54/5.95  Kept:         10965
% 5.54/5.95  Inuse:        339
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    36167
% 5.54/5.95  Kept:         13011
% 5.54/5.95  Inuse:        364
% 5.54/5.95  Deleted:      7
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    46407
% 5.54/5.95  Kept:         15031
% 5.54/5.95  Inuse:        452
% 5.54/5.95  Deleted:      9
% 5.54/5.95  Deletedinuse: 0
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    57612
% 5.54/5.95  Kept:         17304
% 5.54/5.95  Inuse:        503
% 5.54/5.95  Deleted:      16
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    74805
% 5.54/5.95  Kept:         20055
% 5.54/5.95  Inuse:        527
% 5.54/5.95  Deleted:      17
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying clauses:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    83404
% 5.54/5.95  Kept:         22067
% 5.54/5.95  Inuse:        557
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    92135
% 5.54/5.95  Kept:         24259
% 5.54/5.95  Inuse:        572
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    102355
% 5.54/5.95  Kept:         26505
% 5.54/5.95  Inuse:        587
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    112346
% 5.54/5.95  Kept:         28520
% 5.54/5.95  Inuse:        604
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    121922
% 5.54/5.95  Kept:         30541
% 5.54/5.95  Inuse:        642
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    135964
% 5.54/5.95  Kept:         34055
% 5.54/5.95  Inuse:        687
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    144335
% 5.54/5.95  Kept:         36075
% 5.54/5.95  Inuse:        738
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  Intermediate Status:
% 5.54/5.95  Generated:    153973
% 5.54/5.95  Kept:         38240
% 5.54/5.95  Inuse:        782
% 5.54/5.95  Deleted:      385
% 5.54/5.95  Deletedinuse: 3
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying inuse:
% 5.54/5.95  Done
% 5.54/5.95  
% 5.54/5.95  Resimplifying clauses:
% 5.54/5.95  
% 5.54/5.95  Bliksems!, er is een bewijs:
% 5.54/5.95  % SZS status Unsatisfiable
% 5.54/5.95  % SZS output start Refutation
% 5.54/5.95  
% 5.54/5.95  clause( 646, [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 5.54/5.95    'c_Complex_OIm'( X ) ), X ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 882, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.95    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 889, [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 5.54/5.95    , 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 890, [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 5.54/5.95    , 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 894, [ ~( =( 'c_RealVector_Oof__real'( 
% 5.54/5.95    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.54/5.95    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 22986, [ =( 'c_RealVector_Oof__real'( 
% 5.54/5.95    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.54/5.95    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.95  .
% 5.54/5.95  clause( 40104, [] )
% 5.54/5.95  .
% 5.54/5.95  
% 5.54/5.95  
% 5.54/5.95  % SZS output end Refutation
% 5.54/5.95  found a proof!
% 5.54/5.95  
% 5.54/5.95  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.54/5.95  
% 5.54/5.95  initialclauses(
% 5.54/5.95  [ clause( 40106, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40107, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 5.54/5.95  , clause( 40108, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 5.54/5.95  , clause( 40109, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40110, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40111, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40112, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ), 
% 5.54/5.95    ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40113, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ), 
% 5.54/5.95    ~( 'c_lessequals'( U, T, X ) ) ] )
% 5.54/5.95  , clause( 40114, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 5.54/5.95    , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40115, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 5.54/5.95    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 5.54/5.95  , clause( 40116, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.95  , clause( 40117, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40118, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40119, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40120, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40121, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.95    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40122, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.95    'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40123, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 5.54/5.95  , clause( 40124, [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40125, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.95  , clause( 40126, [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =( 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 5.54/5.95     ), 'tc_RealDef_Oreal' ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40127, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 5.54/5.95     ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 5.54/5.95  , clause( 40128, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40129, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40130, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40131, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40132, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40133, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40134, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), =( X, 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40135, [ ~( 'class_RealVector_Ometric__space'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40136, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 5.54/5.95    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40137, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.95    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40138, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 5.54/5.95    X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40139, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40140, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.95    Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40141, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 5.54/5.95    X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40142, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 5.54/5.95     ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 5.54/5.95  , clause( 40143, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), Y, X ), Y ) ] )
% 5.54/5.95  , clause( 40144, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 5.54/5.95    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40145, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 5.54/5.95    , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40146, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40147, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40148, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40149, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40150, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40151, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40152, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40153, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 5.54/5.95    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40154, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40155, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 5.54/5.95    , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40156, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 5.54/5.95    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40157, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) )
% 5.54/5.95    , =( X, Y ) ] )
% 5.54/5.95  , clause( 40158, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40159, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y, 
% 5.54/5.95    'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.95    'c_RealVector_Oof__real'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40160, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40161, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X )
% 5.54/5.95    , 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40162, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40163, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 5.54/5.95  , clause( 40164, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 5.54/5.95    ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40165, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40166, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40167, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40168, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40169, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40170, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40171, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40172, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40173, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40174, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40175, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40176, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 5.54/5.95    Y, Z ) ] )
% 5.54/5.95  , clause( 40177, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 
% 5.54/5.95    'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 5.54/5.95  , clause( 40178, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40179, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =( 
% 5.54/5.95    Z, Y ) ] )
% 5.54/5.95  , clause( 40180, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40181, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40182, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40183, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.95    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.95    Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40184, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40185, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40186, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40187, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 5.54/5.95  , clause( 40188, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40189, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40190, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40191, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40192, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 5.54/5.95     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 5.54/5.95  , clause( 40193, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40194, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40195, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40196, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 5.54/5.95    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40197, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.95    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40198, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 5.54/5.95    T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40199, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40201, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 5.54/5.95     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 5.54/5.95    , X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40202, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 5.54/5.95     ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.95    , T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40203, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z, 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40204, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 5.54/5.95     ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 5.54/5.95    , X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40205, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40206, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40207, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40208, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40209, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40210, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 5.54/5.95    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40211, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 5.54/5.95    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 5.54/5.95    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40213, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40214, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40215, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 5.54/5.95     ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 5.54/5.95     ), X ) ) ] )
% 5.54/5.95  , clause( 40216, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.95     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40217, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.95     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.95    Y, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40218, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40219, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 5.54/5.95    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 5.54/5.95    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40220, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40221, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40222, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40223, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40224, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40225, [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40226, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40227, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.95    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40228, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40229, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40230, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 5.54/5.95     ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40231, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.95  , clause( 40232, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40233, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.95    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40234, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 5.54/5.95  , clause( 40235, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 5.54/5.95    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40236, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 5.54/5.95    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40237, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 5.54/5.95    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40238, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 5.54/5.95    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40239, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Y, Y, X ) ) ] )
% 5.54/5.95  , clause( 40240, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40241, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), X, 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.95    =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40242, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 5.54/5.95    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40243, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 5.54/5.95    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40244, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 5.54/5.95    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40245, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 5.54/5.95    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.95  , clause( 40246, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 5.54/5.95    , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.95  , clause( 40247, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40248, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40249, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 5.54/5.95  , clause( 40250, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40251, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40252, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40253, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.95  , clause( 40254, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 5.54/5.95    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40255, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 5.54/5.95    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40256, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40257, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.95  , clause( 40258, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40259, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40260, [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 
% 5.54/5.95    'tc_Complex_Ocomplex' ) ), X ) ] )
% 5.54/5.95  , clause( 40261, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40262, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 5.54/5.95    X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40263, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40264, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, 
% 5.54/5.95    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40265, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 5.54/5.95    X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40266, [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), Y, 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40267, [ =( 'c_Complex_ORe'( 'c_Complex_Oii' ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40268, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40269, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40270, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40271, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40272, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ] )
% 5.54/5.95  , clause( 40273, [ ~( 'class_RealVector_Ometric__space'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), 
% 5.54/5.95    =( Y, Z ) ] )
% 5.54/5.95  , clause( 40274, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 5.54/5.95     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40275, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 5.54/5.95     ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40276, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40277, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40278, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.95    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ) ] )
% 5.54/5.95  , clause( 40279, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.95    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40280, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 5.54/5.95    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ) ] )
% 5.54/5.95  , clause( 40281, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.95    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40282, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40283, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40284, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40285, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40287, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40289, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40290, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 5.54/5.95     ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40291, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 5.54/5.95  , clause( 40292, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40293, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40294, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40295, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.95    , Z, X ) ) ] )
% 5.54/5.95  , clause( 40296, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40297, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40298, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 5.54/5.95    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 5.54/5.95  , clause( 40299, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 5.54/5.95    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40300, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 5.54/5.95    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40301, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 5.54/5.95    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40302, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 5.54/5.95    , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 5.54/5.95     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40303, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40304, [ ~( 
% 5.54/5.95    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40305, [ ~( 
% 5.54/5.95    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.95    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40306, [ ~( 
% 5.54/5.95    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40307, [ ~( 
% 5.54/5.95    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.95    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40308, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 5.54/5.95     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40309, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 5.54/5.95     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40310, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.95    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40311, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.95    , T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.95    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40312, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40313, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 5.54/5.95     ), =( Z, Y ) ] )
% 5.54/5.95  , clause( 40314, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40315, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40316, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 5.54/5.95  , clause( 40317, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 5.54/5.95    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40318, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 5.54/5.95    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40319, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 5.54/5.95     ), =( Z, Y ) ] )
% 5.54/5.95  , clause( 40320, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 
% 5.54/5.95    'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40321, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 5.54/5.95     ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40322, [ ~( =( 'c_Complex_Oii', 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( X, 'tc_Complex_Ocomplex' ) ) ) ] )
% 5.54/5.95  , clause( 40323, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 5.54/5.95    , X ) ) ), =( Y, Z ) ] )
% 5.54/5.95  , clause( 40324, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 5.54/5.95    , X ) ) ), =( Y, Z ) ] )
% 5.54/5.95  , clause( 40325, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40326, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40327, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 5.54/5.95  , clause( 40328, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40329, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40330, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40331, [ =( 'c_Complex_ORe'( 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.95    X, 'tc_Complex_Ocomplex' ) ), 'c_Int_Onumber__class_Onumber__of'( X, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40332, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40333, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40334, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.95    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40335, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 5.54/5.95  , clause( 40336, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40337, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 
% 5.54/5.95    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 5.54/5.95    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X
% 5.54/5.95    , 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40338, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40339, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 5.54/5.95  , clause( 40340, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40341, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 5.54/5.95  , clause( 40342, [ ~( 'class_RealVector_Ometric__space'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40343, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 5.54/5.95     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 5.54/5.95  , clause( 40344, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 5.54/5.95    , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40345, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 5.54/5.95    , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40346, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40347, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40348, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40349, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 5.54/5.95    , X ), X ) ) ] )
% 5.54/5.95  , clause( 40350, [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40351, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40352, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 5.54/5.95    , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 5.54/5.95     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 5.54/5.95     ) ) ] )
% 5.54/5.95  , clause( 40353, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40354, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40355, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 5.54/5.95    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40356, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( 
% 5.54/5.95    Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40357, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40358, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40359, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 5.54/5.95     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40360, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40361, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 5.54/5.95    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40362, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40363, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40364, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40365, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40366, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40367, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40368, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40369, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 5.54/5.95    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40370, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 5.54/5.95    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40371, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40372, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40373, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.95    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.95  , clause( 40374, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40375, [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40376, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40377, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.95    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40378, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40379, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40380, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 5.54/5.95  , clause( 40381, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 5.54/5.95    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40382, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40383, [ ~( =( 'c_Transcendental_Ocos'( 
% 5.54/5.95    'c_Transcendental_Oarctan'( X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.95  , clause( 40384, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40385, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.95    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40386, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.95    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 5.54/5.95    X ), X ) ) ] )
% 5.54/5.95  , clause( 40387, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40388, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40389, [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40390, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40391, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.95    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40392, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.95    'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ), X ) ] )
% 5.54/5.95  , clause( 40393, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40394, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40395, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40396, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.95  , clause( 40397, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 5.54/5.95  , clause( 40398, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 5.54/5.95    , T, X ), X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40399, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40400, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40401, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40402, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 
% 5.54/5.95    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40403, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X
% 5.54/5.95    , Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 5.54/5.95    , 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40404, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40405, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40406, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.95  , clause( 40407, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 5.54/5.95     ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 5.54/5.95  , clause( 40408, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 5.54/5.95    , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 5.54/5.95  , clause( 40409, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 5.54/5.95     ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 5.54/5.95  , clause( 40410, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 5.54/5.95    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    Y, T, X ) ) ), =( Z, T ) ] )
% 5.54/5.95  , clause( 40411, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), 
% 5.54/5.95    ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.95    T, Z, X ) ) ), =( Y, T ) ] )
% 5.54/5.95  , clause( 40412, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40413, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40414, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40415, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40416, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40417, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40418, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40419, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40420, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40421, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 5.54/5.95    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40422, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.95    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 5.54/5.95    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40423, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40424, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40425, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.95     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40426, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X )
% 5.54/5.95    , 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.95    X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40427, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 5.54/5.95    , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.95    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.95    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40428, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 5.54/5.95  , clause( 40429, [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 5.54/5.95  , clause( 40430, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 5.54/5.95    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40431, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40432, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.95    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40434, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 
% 5.54/5.95    =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X )
% 5.54/5.95    , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40435, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.95  , clause( 40436, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40437, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.95  , clause( 40438, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40439, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 5.54/5.95     ] )
% 5.54/5.95  , clause( 40440, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40441, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40442, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.95     ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40443, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 
% 5.54/5.95    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 5.54/5.95    'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40444, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40445, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.95    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40446, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 5.54/5.95    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40447, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 5.54/5.95    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40448, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 5.54/5.95    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40449, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 5.54/5.95    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40450, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 5.54/5.95    , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40451, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 5.54/5.95    , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40452, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.95     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40453, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.95    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 5.54/5.95  , clause( 40454, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.95     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40455, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.95    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 5.54/5.95  , clause( 40456, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 5.54/5.95    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40457, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 5.54/5.95    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40458, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 5.54/5.95    , X ) ) ] )
% 5.54/5.95  , clause( 40459, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40460, [ ~( 'class_Divides_Oring__div'( X ) ), =( 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.95    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 5.54/5.95    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40461, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40462, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.95    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 5.54/5.95  , clause( 40463, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.95  , clause( 40464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.95    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.95     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 5.54/5.95  , clause( 40465, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.95    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 5.54/5.95    'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40466, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.95    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 5.54/5.95  , clause( 40467, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.95    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ) ) ] )
% 5.54/5.95  , clause( 40468, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40469, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y )
% 5.54/5.95    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40470, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.95    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 5.54/5.95    Y ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 5.54/5.95  , clause( 40471, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40472, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 5.54/5.95  , clause( 40473, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.95    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.95  , clause( 40474, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.95    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40476, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.95  , clause( 40477, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 5.54/5.95  , clause( 40478, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z
% 5.54/5.95    , Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal'
% 5.54/5.95     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.95    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40479, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.95    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.95    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 5.54/5.95    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40480, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40481, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.95    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.95     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.95     ) ] )
% 5.54/5.95  , clause( 40482, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 5.54/5.95    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 5.54/5.95     )
% 5.54/5.95  , clause( 40483, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 5.54/5.95    , T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40484, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.95    X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.95    , Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40485, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 5.54/5.95    , T, X ), X ) ) ] )
% 5.54/5.95  , clause( 40486, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.95    , Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40487, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 5.54/5.95  , clause( 40488, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.95  , clause( 40492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40493, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.95    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.95    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 5.54/5.95    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.95  , clause( 40494, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.95    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40495, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 5.54/5.95    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 5.54/5.95  , clause( 40496, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.95    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.95    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.95    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.95  , clause( 40497, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 5.54/5.95    'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 5.54/5.95    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ), 
% 5.54/5.95    'tc_RealDef_Oreal' ) ] )
% 5.54/5.95  , clause( 40498, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.95     ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.95    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 5.54/5.95    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 5.54/5.95  , clause( 40499, [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ), 
% 5.54/5.95    'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.95    X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.95  , clause( 40500, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 
% 5.54/5.95    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.95    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.95    Z, T, X ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40501, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40502, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40503, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40504, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 5.54/5.96  , clause( 40505, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 5.54/5.96    , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40506, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 5.54/5.96  , clause( 40507, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 5.54/5.96  , clause( 40508, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 5.54/5.96    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40509, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40510, [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 
% 5.54/5.96    'c_Log_Opowr'( 'c_Log_Opowr'( X, Z ), Y ) ) ] )
% 5.54/5.96  , clause( 40511, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 5.54/5.96    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 5.54/5.96     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40512, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 5.54/5.96    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 5.54/5.96     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40513, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40514, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40515, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40516, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ), 
% 5.54/5.96    =( Y, Z ) ] )
% 5.54/5.96  , clause( 40517, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40518, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 5.54/5.96    , X ), X ) ) ] )
% 5.54/5.96  , clause( 40519, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40520, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 5.54/5.96    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 5.54/5.96  , clause( 40521, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40522, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40523, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40524, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 5.54/5.96    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40525, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40526, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40527, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40528, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40529, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40530, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40531, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40532, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40533, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ), 
% 5.54/5.96    'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40534, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40535, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40536, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40537, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40538, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40539, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    X ) ] )
% 5.54/5.96  , clause( 40540, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40541, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40542, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( 
% 5.54/5.96    X ) ), X ) ] )
% 5.54/5.96  , clause( 40543, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40544, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.96     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40545, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 5.54/5.96     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40546, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40547, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40548, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40549, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40550, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 5.54/5.96  , clause( 40551, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40552, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40553, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40554, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 5.54/5.96     ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40555, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 5.54/5.96     ), Y ) ] )
% 5.54/5.96  , clause( 40556, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 5.54/5.96     ), X ), Y ) ] )
% 5.54/5.96  , clause( 40557, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40558, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40559, [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 40560, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96    , 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40561, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40562, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.96    'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ), X ) ] )
% 5.54/5.96  , clause( 40563, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.96     ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40564, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40565, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40566, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40567, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 5.54/5.96    , T, X ), X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40568, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40569, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40570, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 5.54/5.96    , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 40571, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 5.54/5.96    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40572, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.96    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40573, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40574, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40575, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.96     ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40576, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40577, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40578, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40579, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 5.54/5.96    , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40580, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 5.54/5.96     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 5.54/5.96     ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40581, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 
% 5.54/5.96    'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40582, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y
% 5.54/5.96     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40583, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40584, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 
% 5.54/5.96    'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 5.54/5.96    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40587, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X
% 5.54/5.96    , Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal'
% 5.54/5.96     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40588, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40589, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40590, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40591, [ ~( =( 'c_Transcendental_Ocos'( X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( 
% 5.54/5.96    'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40592, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40593, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40594, [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 5.54/5.96  , clause( 40595, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40596, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 5.54/5.96    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40597, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40598, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 5.54/5.96  , clause( 40599, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 5.54/5.96    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 5.54/5.96     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40600, [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 5.54/5.96    , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40601, [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40602, [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40603, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40604, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40605, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X
% 5.54/5.96     ), 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40606, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40607, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40608, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40609, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40610, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40611, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40612, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40613, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40614, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40615, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ), 
% 5.54/5.96    'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40616, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Oof__real'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ), X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 5.54/5.96  , clause( 40617, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40618, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 5.54/5.96    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 5.54/5.96  , clause( 40619, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 5.54/5.96    W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 5.54/5.96  , clause( 40620, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), 
% 5.54/5.96    W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 5.54/5.96    , X ), W, X ) ) ] )
% 5.54/5.96  , clause( 40621, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40622, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 5.54/5.96  , clause( 40623, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40624, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.96    , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 5.54/5.96  , clause( 40625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 5.54/5.96  , clause( 40627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 5.54/5.96  , clause( 40629, [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ] )
% 5.54/5.96  , clause( 40630, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40631, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 5.54/5.96  , clause( 40632, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40633, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40634, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 5.54/5.96  , clause( 40635, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 5.54/5.96  , clause( 40636, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40637, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40638, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40639, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 5.54/5.96     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 5.54/5.96    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40640, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40641, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40642, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40643, [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.54/5.96  , clause( 40644, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 40645, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 40646, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40647, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40648, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40649, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40650, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40651, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40652, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40653, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40654, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40655, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40656, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    X, 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40657, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40658, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 5.54/5.96    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40659, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 5.54/5.96    , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40660, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 5.54/5.96    , T, X ), X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40661, [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40662, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 5.54/5.96     ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40663, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 5.54/5.96     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40664, [ =( 'c_Complex_OIm'( 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.96    X, 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40665, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 5.54/5.96    , Y, X ) ) ] )
% 5.54/5.96  , clause( 40666, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 5.54/5.96    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , Z, X ) ] )
% 5.54/5.96  , clause( 40667, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 5.54/5.96    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , Z, X ) ] )
% 5.54/5.96  , clause( 40668, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40669, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40670, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , T, X ) ] )
% 5.54/5.96  , clause( 40671, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , T, X ) ] )
% 5.54/5.96  , clause( 40672, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 5.54/5.96    Z, X ) ) ] )
% 5.54/5.96  , clause( 40673, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 5.54/5.96    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40674, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40675, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.96    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40676, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 5.54/5.96    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40677, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40678, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40679, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40680, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40681, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40682, [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40683, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 5.54/5.96    X ) ] )
% 5.54/5.96  , clause( 40684, [ =( 'c_Complex_Ocnj'( 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.96    X, 'tc_Complex_Ocomplex' ) ), 'c_Int_Onumber__class_Onumber__of'( X, 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 40685, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40686, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 5.54/5.96    , ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40687, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40688, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 5.54/5.96  , clause( 40689, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 5.54/5.96  , clause( 40690, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 5.54/5.96  , clause( 40691, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40692, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 5.54/5.96    , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 5.54/5.96  , clause( 40693, [ ~( 'class_Orderings_Olinorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 5.54/5.96  , clause( 40694, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40695, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 5.54/5.96    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40696, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 5.54/5.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40697, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 5.54/5.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40698, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40699, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 5.54/5.96     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40700, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40701, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40702, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40703, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40704, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~( 
% 5.54/5.96    'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40705, [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40706, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.96    , T, X ) ) ), =( Z, T ) ] )
% 5.54/5.96  , clause( 40707, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 5.54/5.96    , T, X ) ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 40708, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 5.54/5.96    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40709, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40710, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 5.54/5.96    , T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40711, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40712, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 5.54/5.96     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40713, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40714, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 5.54/5.96     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40715, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40716, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40717, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40718, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40719, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40720, [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), ~( =( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 40721, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40722, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    Y, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40723, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.96    , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.96    Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40724, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 5.54/5.96    , 'tc_RealDef_Oreal' ), T, X ) ) ] )
% 5.54/5.96  , clause( 40725, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.96    , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40726, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.96    , X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40727, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40728, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 5.54/5.96     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 5.54/5.96  , clause( 40729, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( X
% 5.54/5.96    , 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40730, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 5.54/5.96     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40731, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 5.54/5.96     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40732, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40733, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 5.54/5.96     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40734, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.96     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40735, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), X ) ) ] )
% 5.54/5.96  , clause( 40736, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), X ) ) ] )
% 5.54/5.96  , clause( 40737, [ =( 'c_Complex_OIm'( 'c_Complex_Oii' ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40738, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 5.54/5.96    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.96    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40739, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 5.54/5.96    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.96    X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40740, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 5.54/5.96    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40741, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 5.54/5.96    X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40742, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.96    , U, X ), X ) ) ] )
% 5.54/5.96  , clause( 40743, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40744, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 5.54/5.96    , 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'( 
% 5.54/5.96    X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40745, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40746, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40747, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96    , 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40748, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40749, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 5.54/5.96     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40750, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40751, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 
% 5.54/5.96    'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40752, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 
% 5.54/5.96    'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40753, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40754, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40755, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40756, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40757, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40758, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40759, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 5.54/5.96    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40760, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40761, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40762, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40763, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40764, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40765, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40766, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40767, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40768, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.96    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40769, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.96    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40770, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40771, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40772, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40773, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40774, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40775, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40776, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 40777, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), T, X ) ] )
% 5.54/5.96  , clause( 40778, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40779, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 40780, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40781, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.96  , clause( 40782, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40783, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 5.54/5.96    , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 
% 5.54/5.96    W, X ), X ) ) ] )
% 5.54/5.96  , clause( 40784, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 5.54/5.96     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 5.54/5.96    , X ), T, X ), W, X ) ) ] )
% 5.54/5.96  , clause( 40785, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 5.54/5.96    , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), 
% 5.54/5.96    W, X ), X ) ) ] )
% 5.54/5.96  , clause( 40786, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 5.54/5.96     ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 5.54/5.96    , X ), W, X ), X ) ) ] )
% 5.54/5.96  , clause( 40787, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40788, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40789, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40790, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 5.54/5.96    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 5.54/5.96     ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ), 
% 5.54/5.96    Z, X ) ) ] )
% 5.54/5.96  , clause( 40791, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 5.54/5.96     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 5.54/5.96  , clause( 40792, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 5.54/5.96     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 5.54/5.96  , clause( 40793, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40794, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40795, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 5.54/5.96    =( Y, T ) ] )
% 5.54/5.96  , clause( 40796, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), 
% 5.54/5.96    =( Y, T ) ] )
% 5.54/5.96  , clause( 40797, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40798, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 5.54/5.96    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40799, [ =( 'c_Complex_OIm'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40800, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 5.54/5.96    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40801, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.96  , clause( 40802, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 5.54/5.96    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T, 
% 5.54/5.96    X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40803, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 5.54/5.96    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40804, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40805, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40806, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40807, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40808, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.96  , clause( 40809, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 5.54/5.96    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40810, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40811, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 5.54/5.96    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40812, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 5.54/5.96    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40813, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    X ), X ) ] )
% 5.54/5.96  , clause( 40814, [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 
% 5.54/5.96    'c_Log_Opowr'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ) ] )
% 5.54/5.96  , clause( 40815, [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 40816, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 5.54/5.96    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40817, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 5.54/5.96    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40818, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 5.54/5.96     ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40819, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40820, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40821, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 5.54/5.96    T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40822, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40823, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 5.54/5.96    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40824, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40825, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 5.54/5.96  , clause( 40826, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 5.54/5.96  , clause( 40827, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40828, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 5.54/5.96  , clause( 40829, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~( 
% 5.54/5.96    'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40830, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ] )
% 5.54/5.96  , clause( 40831, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi', 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40832, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.96     ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40833, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Complex_Oii' ) ), =( Y, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40834, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40836, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40837, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40838, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 5.54/5.96    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 5.54/5.96    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 5.54/5.96    X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40839, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40840, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40841, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40842, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 5.54/5.96    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40843, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40844, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 5.54/5.96    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40845, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 5.54/5.96  , clause( 40846, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 5.54/5.96  , clause( 40847, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40848, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40849, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40850, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ) ) ] )
% 5.54/5.96  , clause( 40851, [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), 
% 5.54/5.96    ~( =( 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ] )
% 5.54/5.96  , clause( 40852, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.96     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40853, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 5.54/5.96     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40854, [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40855, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 5.54/5.96    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 5.54/5.96    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40856, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40857, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 40858, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40859, [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 
% 5.54/5.96    'c_Complex_ORe'( X ) ) ] )
% 5.54/5.96  , clause( 40860, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40861, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 5.54/5.96  , clause( 40862, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 40863, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 5.54/5.96  , clause( 40864, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 40865, [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 5.54/5.96    'c_Complex_OIm'( X ) ), X ) ] )
% 5.54/5.96  , clause( 40866, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40867, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40868, [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 40869, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40870, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 40871, [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), 
% 5.54/5.96    =( X, Y ) ] )
% 5.54/5.96  , clause( 40872, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 5.54/5.96    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 5.54/5.96    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40873, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40874, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.96    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 5.54/5.96  , clause( 40875, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40876, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40877, [ =( 'c_Complex_OIm'( 'c_RealVector_Oof__real'( X, 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40878, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40879, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40880, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 5.54/5.96     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 40881, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40882, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ), 
% 5.54/5.96    'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40883, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( 
% 5.54/5.96    Y ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40884, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 
% 5.54/5.96    'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40885, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 5.54/5.96    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40886, [ =( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40887, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40888, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40889, [ ~( 
% 5.54/5.96    'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 5.54/5.96  , clause( 40890, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40891, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40892, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40893, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 5.54/5.96  , clause( 40894, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40895, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40896, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.96    X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 5.54/5.96    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 5.54/5.96  , clause( 40897, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 40898, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40899, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ), T, X ) ) ] )
% 5.54/5.96  , clause( 40900, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40901, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40902, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40903, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40904, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40905, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 5.54/5.96     ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( 
% 5.54/5.96    Z, Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40906, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40907, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 5.54/5.96  , clause( 40908, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ), 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40909, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40910, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.96  , clause( 40911, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40912, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40913, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40914, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40915, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 5.54/5.96     ), Y ) ] )
% 5.54/5.96  , clause( 40916, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 5.54/5.96    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40917, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 5.54/5.96    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 5.54/5.96    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 40918, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 5.54/5.96    , Y, X ) ) ] )
% 5.54/5.96  , clause( 40919, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40920, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ), Y ) ] )
% 5.54/5.96  , clause( 40921, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40922, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40923, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ), Y ) ] )
% 5.54/5.96  , clause( 40924, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 5.54/5.96     ), Y ) ] )
% 5.54/5.96  , clause( 40925, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40926, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.96    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 5.54/5.96  , clause( 40927, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40928, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 40929, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 5.54/5.96    , Y, X ) ) ] )
% 5.54/5.96  , clause( 40930, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 5.54/5.96    , Y, X ) ) ] )
% 5.54/5.96  , clause( 40931, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40932, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 40933, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40934, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40935, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40936, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40937, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40938, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 5.54/5.96  , clause( 40939, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40940, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40941, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40942, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40943, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40944, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40945, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40946, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40947, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40948, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40949, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 5.54/5.96     ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40950, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 5.54/5.96     ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40951, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40952, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40953, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40954, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40955, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40956, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40957, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40958, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40959, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40960, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40961, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40962, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40963, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 5.54/5.96     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40964, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40965, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 5.54/5.96    , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40966, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40967, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40968, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40969, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 5.54/5.96     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40970, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 40971, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 5.54/5.96     ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40972, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 5.54/5.96    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40973, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40974, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 5.54/5.96  , clause( 40975, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 5.54/5.96    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 5.54/5.96    X ), X ) ) ] )
% 5.54/5.96  , clause( 40976, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 5.54/5.96    X ) ] )
% 5.54/5.96  , clause( 40977, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 5.54/5.96     ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'( 
% 5.54/5.96    Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40978, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 5.54/5.96    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 5.54/5.96    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 40979, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40980, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40981, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 5.54/5.96    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40982, [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.54/5.96  , clause( 40983, [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X, 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X, 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 40984, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 40985, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 5.54/5.96     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 40986, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 40987, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 40988, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40989, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 40990, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 5.54/5.96  , clause( 40991, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 5.54/5.96  , clause( 40992, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 40993, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 40994, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 5.54/5.96    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40995, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 5.54/5.96    X ) ) ] )
% 5.54/5.96  , clause( 40996, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 5.54/5.96    X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 40997, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 40998, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 40999, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 5.54/5.96    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 5.54/5.96  , clause( 41000, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 5.54/5.96  , clause( 41001, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 5.54/5.96    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 5.54/5.96  , clause( 41002, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 5.54/5.96  , clause( 41003, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 41004, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41005, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41006, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 41007, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 41008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41009, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 5.54/5.96    X ), X ) ) ] )
% 5.54/5.96  , clause( 41010, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, T, X ) ) ] )
% 5.54/5.96  , clause( 41011, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Z, T, X ) ) ] )
% 5.54/5.96  , clause( 41012, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 5.54/5.96    X ), X ) ) ] )
% 5.54/5.96  , clause( 41013, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, T, X ) ) ] )
% 5.54/5.96  , clause( 41014, [ ~( 
% 5.54/5.96    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, T, X ) ) ] )
% 5.54/5.96  , clause( 41015, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 5.54/5.96    , Y, X ) ] )
% 5.54/5.96  , clause( 41016, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 5.54/5.96    , X ) ] )
% 5.54/5.96  , clause( 41017, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 5.54/5.96    'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41018, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41019, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 5.54/5.96    , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 41020, [ ~( 'class_Orderings_Opreorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 5.54/5.96  , clause( 41021, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 5.54/5.96    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 5.54/5.96  , clause( 41022, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 5.54/5.96    , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41023, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 5.54/5.96     ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41024, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 5.54/5.96    , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 41025, [ ~( 'class_Orderings_Oorder'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 41026, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 5.54/5.96    , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 41027, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 41028, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 41029, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 5.54/5.96  , clause( 41030, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41031, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41032, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41033, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 5.54/5.96    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 5.54/5.96    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 5.54/5.96    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 5.54/5.96  , clause( 41034, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 5.54/5.96    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 5.54/5.96     ), X ), Z, X ) ) ] )
% 5.54/5.96  , clause( 41035, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 5.54/5.96    , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41036, [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41037, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 5.54/5.96    , X ), X ), Y ) ] )
% 5.54/5.96  , clause( 41038, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41039, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 41040, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 41041, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , T, X ), X ) ) ] )
% 5.54/5.96  , clause( 41042, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 5.54/5.96    , T, X ), X ) ) ] )
% 5.54/5.96  , clause( 41043, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 5.54/5.96     ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 41044, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 5.54/5.96  , clause( 41045, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41046, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 41047, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 5.54/5.96    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 5.54/5.96    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41048, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41049, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 41050, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 5.54/5.96    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 5.54/5.96    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 5.54/5.96  , clause( 41051, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 5.54/5.96    , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 5.54/5.96     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 41052, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 41053, [ ~( 'class_RealVector_Odist__norm'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 5.54/5.96     ), X ) ) ] )
% 5.54/5.96  , clause( 41054, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 41055, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 5.54/5.96    'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 5.54/5.96    , X ) ) ] )
% 5.54/5.96  , clause( 41056, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41057, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 5.54/5.96    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41058, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 41059, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41060, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), X, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41061, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 5.54/5.96  , clause( 41062, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 5.54/5.96  , clause( 41063, [ =( 'c_Complex_OIm'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 41064, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    X, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41065, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 5.54/5.96  , clause( 41066, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 5.54/5.96     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 5.54/5.96    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 5.54/5.96  , clause( 41067, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 41068, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 41069, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 5.54/5.96    , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 5.54/5.96  , clause( 41070, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41071, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 41072, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 5.54/5.96    Y, X ) ) ] )
% 5.54/5.96  , clause( 41073, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), 
% 5.54/5.96    ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41074, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41075, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41076, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41077, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41078, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41079, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41080, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41081, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, 
% 5.54/5.96    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41082, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 5.54/5.96    , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41083, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 41084, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 5.54/5.96    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41085, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 5.54/5.96    , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 5.54/5.96     )
% 5.54/5.96  , clause( 41086, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.96    X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41087, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 5.54/5.96     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 5.54/5.96  , clause( 41088, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41089, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41090, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 41091, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 5.54/5.96    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 5.54/5.96     ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 41092, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, 
% 5.54/5.96    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 41093, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41094, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41095, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 5.54/5.96    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41096, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41097, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 5.54/5.96    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41098, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 5.54/5.96    =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 5.54/5.96    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41099, [ ~( 'class_SEQ_Obanach'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__normed__field'( X ) ), ~( =( 
% 5.54/5.96    'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 5.54/5.96  , clause( 41100, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41101, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41102, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41103, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 
% 5.54/5.96    'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41104, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41105, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41106, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41107, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 5.54/5.96    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41108, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41109, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41110, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 5.54/5.96     ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41111, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 5.54/5.96  , clause( 41112, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41113, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 5.54/5.96    'tc_nat' ), X ), X ) ] )
% 5.54/5.96  , clause( 41114, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 5.54/5.96    'tc_nat' ), X ), X ) ] )
% 5.54/5.96  , clause( 41115, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 5.54/5.96  , clause( 41116, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ] )
% 5.54/5.96  , clause( 41117, [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41118, [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.96  , clause( 41119, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 5.54/5.96  , clause( 41120, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 41121, [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41122, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41123, [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.96  , clause( 41124, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.96  , clause( 41125, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41126, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41127, [ =( 'c_HOL_Oinverse__class_Oinverse'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41128, [ =( 'c_Transcendental_Oarctan'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41129, [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41130, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41131, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ] )
% 5.54/5.96  , clause( 41132, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 5.54/5.96    'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 5.54/5.96     ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ] )
% 5.54/5.96  , clause( 41133, [ =( 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 41134, [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.96  , clause( 41135, [ =( 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), 'c_Complex_Oii' ) ] )
% 5.54/5.96  , clause( 41136, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'( 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41137, [ =( 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( X, 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 41138, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41139, [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y
% 5.54/5.96     ) ), X ) ] )
% 5.54/5.96  , clause( 41140, [ =( 'c_Complex_OIm'( 'c_Complex_Ocomplex_OComplex'( X, Y
% 5.54/5.96     ) ), Y ) ] )
% 5.54/5.96  , clause( 41141, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ] )
% 5.54/5.96  , clause( 41142, [ =( 'c_Complex_Ocnj'( 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 41143, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41144, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 5.54/5.96     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41145, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =( 
% 5.54/5.96    'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 5.54/5.96    =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41146, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41147, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 5.54/5.96    'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41148, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 5.54/5.96    =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41149, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41150, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( 
% 5.54/5.96    'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41151, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 5.54/5.96  , clause( 41152, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 5.54/5.96     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 5.54/5.96  , clause( 41153, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y, 
% 5.54/5.96    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 5.54/5.96  , clause( 41154, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 41155, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 5.54/5.96    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 5.54/5.96  , clause( 41156, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( X, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41157, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41158, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 5.54/5.96     ) ] )
% 5.54/5.96  , clause( 41159, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 41160, [ =( 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.96  , clause( 41161, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Complex_Oii' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 5.54/5.96     ) ) ] )
% 5.54/5.96  , clause( 41162, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41163, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), =( Y, 
% 5.54/5.96    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41164, [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' )
% 5.54/5.96    , 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ) ] )
% 5.54/5.96  , clause( 41165, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_Complex_Ocomplex' ) ) ), =( Y
% 5.54/5.96    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41166, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =( 
% 5.54/5.96    'c_RealVector_Oof__real'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, 
% 5.54/5.96    'tc_RealDef_Oreal' ), X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) )
% 5.54/5.96     ] )
% 5.54/5.96  , clause( 41167, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 
% 5.54/5.96    =( 'c_RealVector_Onorm__class_Onorm'( 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), 
% 5.54/5.96    'c_Nat_Osemiring__1__class_Oof__nat'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41168, [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.96    X, 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41169, [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.96    X, 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.54/5.96    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.96  , clause( 41170, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ] )
% 5.54/5.96  , clause( 41171, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 
% 5.54/5.96    'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ] )
% 5.54/5.97  , clause( 41172, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 5.54/5.97    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 5.54/5.97    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 5.54/5.97  , clause( 41173, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.54/5.97    'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.97    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.54/5.97    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ) ] )
% 5.54/5.97  , clause( 41174, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41175, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41176, [ 
% 5.54/5.97    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41177, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.97    'tc_nat' ) ] )
% 5.54/5.97  , clause( 41178, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.97    'tc_nat' ) ] )
% 5.54/5.97  , clause( 41179, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 5.54/5.97    'tc_nat' ) ] )
% 5.54/5.97  , clause( 41180, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 5.54/5.97    'tc_nat' ) ] )
% 5.54/5.97  , clause( 41181, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 5.54/5.97    'tc_nat' ) ] )
% 5.54/5.97  , clause( 41182, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41183, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41184, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41185, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41186, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41187, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41188, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41189, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41190, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41191, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41192, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41193, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41194, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41195, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41196, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41197, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41198, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41199, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41200, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41201, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41202, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41203, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41204, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41205, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41206, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 5.54/5.97  , clause( 41207, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41208, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41209, [ 
% 5.54/5.97    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41210, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41211, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41212, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41213, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41214, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41215, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41216, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41217, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41218, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41219, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41220, [ 'class_OrderedGroup_Olordered__ab__group__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41221, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41222, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41223, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41224, [ 'class_Ring__and__Field_Opordered__ring__abs'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41225, [ 'class_Ring__and__Field_Oordered__semiring'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41226, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41227, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41228, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 5.54/5.97    'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41229, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41230, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41231, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41232, [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41233, [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41234, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41235, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41236, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41237, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41238, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41239, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41240, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41241, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41242, [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41243, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41244, [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41245, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41246, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41247, [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41248, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41249, [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41250, [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41251, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41252, [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41253, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41254, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41255, [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41256, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41257, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41258, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41259, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 5.54/5.97  , clause( 41260, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41261, [ 
% 5.54/5.97    'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41262, [ 
% 5.54/5.97    'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41263, [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41264, [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41265, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41266, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41267, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41268, [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41269, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41270, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41271, [ 'class_Ring__and__Field_Oordered__ring__strict'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41272, [ 'class_RealVector_Oreal__normed__div__algebra'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41273, [ 'class_OrderedGroup_Opordered__ab__group__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41274, [ 'class_OrderedGroup_Olordered__ab__group__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41275, [ 'class_OrderedGroup_Oordered__ab__group__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41276, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41277, [ 'class_Ring__and__Field_Opordered__semiring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41278, [ 'class_Ring__and__Field_Opordered__ring__abs'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41279, [ 'class_RealVector_Oreal__normed__algebra__1'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41280, [ 'class_Ring__and__Field_Oordered__semiring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41281, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41282, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41283, [ 'class_Ring__and__Field_Oordered__semidom'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41284, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41285, [ 'class_RealVector_Oreal__normed__algebra'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41286, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41287, [ 'class_RealVector_Oreal__normed__vector'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41288, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41289, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41290, [ 'class_Ring__and__Field_Opordered__ring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41291, [ 'class_Ring__and__Field_Oordered__field'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41292, [ 'class_Ring__and__Field_Olordered__ring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41293, [ 'class_Ring__and__Field_Odivision__ring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41294, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41295, [ 'class_RealVector_Oreal__normed__field'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41296, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41297, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41298, [ 'class_Ring__and__Field_Oordered__idom'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41299, [ 'class_RealVector_Oreal__div__algebra'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41300, [ 'class_Ring__and__Field_Osemiring__1'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41301, [ 'class_Ring__and__Field_Omult__mono1'( 
% 5.54/5.97    'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41302, [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41303, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41304, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41305, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41306, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41307, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41308, [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41309, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41310, [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41311, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41312, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41313, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41314, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41315, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41316, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41317, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41318, [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41319, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41320, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41321, [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ]
% 5.54/5.97     )
% 5.54/5.97  , clause( 41322, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41323, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41324, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41325, [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41326, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41327, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41328, [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ] )
% 5.54/5.97  , clause( 41329, [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41330, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41331, [ 'class_RealVector_Oreal__normed__div__algebra'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41332, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41333, [ 'class_RealVector_Oreal__normed__algebra__1'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41334, [ 'class_Ring__and__Field_Ono__zero__divisors'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41335, [ 'class_Ring__and__Field_Odivision__by__zero'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41336, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41337, [ 'class_RealVector_Oreal__normed__algebra'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41338, [ 'class_OrderedGroup_Oab__semigroup__mult'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41339, [ 'class_RealVector_Oreal__normed__vector'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41340, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41341, [ 'class_OrderedGroup_Oab__semigroup__add'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41342, [ 'class_Ring__and__Field_Odivision__ring'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41343, [ 'class_Ring__and__Field_Ocomm__semiring'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41344, [ 'class_RealVector_Oreal__normed__field'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41345, [ 'class_OrderedGroup_Ocomm__monoid__add'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41346, [ 'class_Ring__and__Field_Ozero__neq__one'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41347, [ 'class_RealVector_Oreal__div__algebra'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41348, [ 'class_Ring__and__Field_Osemiring__1'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41349, [ 'class_RealVector_Oreal__algebra__1'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41350, [ 'class_OrderedGroup_Oab__group__add'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41351, [ 'class_Ring__and__Field_Omult__zero'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41352, [ 'class_OrderedGroup_Omonoid__mult'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41353, [ 'class_Ring__and__Field_Osemiring'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41354, [ 'class_RealVector_Osgn__div__norm'( 
% 5.54/5.97    'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41355, [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41356, [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41357, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41358, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41359, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 5.54/5.97     ) ] )
% 5.54/5.97  , clause( 41360, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41361, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41362, [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41363, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41364, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41365, [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' )
% 5.54/5.97     ] )
% 5.54/5.97  , clause( 41366, [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41367, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41368, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  , clause( 41369, [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ] )
% 5.54/5.97  ] ).
% 5.54/5.97  
% 5.54/5.97  
% 5.54/5.97  
% 5.54/5.97  subsumption(
% 5.54/5.97  clause( 646, [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 5.54/5.97    'c_Complex_OIm'( X ) ), X ) ] )
% 5.54/5.97  , clause( 40865, [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 5.54/5.97    'c_Complex_OIm'( X ) ), X ) ] )
% 5.54/5.97  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.54/5.99  
% 5.54/5.99  
% 5.54/5.99  subsumption(
% 5.54/5.99  clause( 882, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.54/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.99    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.99  , clause( 41159, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.54/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.99    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.54/5.99  
% 5.54/5.99  
% 5.54/5.99  subsumption(
% 5.54/5.99  clause( 889, [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 5.54/5.99    , 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.99    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.99  , clause( 41168, [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.99    X, 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.54/5.99    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.54/5.99  
% 5.54/5.99  
% 5.54/5.99  subsumption(
% 5.54/5.99  clause( 890, [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( X
% 5.54/5.99    , 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.54/5.99    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.99  , clause( 41169, [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.54/5.99    X, 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.54/5.99    'tc_RealDef_Oreal' ) ) ] )
% 5.54/5.99  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.54/5.99  
% 5.54/5.99  
% 5.54/5.99  paramod(
% 5.54/5.99  clause( 48215, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.54/5.99    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 
% 5.54/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.54/5.99    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.54/5.99  , clause( 882, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.54/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.54/5.99    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.54/5.99  , 0, clause( 41173, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.54/5.99    'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( 
% 5.54/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.54/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ) ] )
% 5.54/5.99  , 0, 5, substitution( 0, [ :=( X, 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.64/5.99    'v_n', 'tc_RealDef_Oreal' ) )] ), substitution( 1, [] )).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  eqswap(
% 5.64/5.99  clause( 48216, [ ~( =( 'c_RealVector_Oof__real'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/5.99    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/5.99  , clause( 48215, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.64/5.99    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/5.99  , 0, substitution( 0, [] )).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  subsumption(
% 5.64/5.99  clause( 894, [ ~( =( 'c_RealVector_Oof__real'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/5.99    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/5.99  , clause( 48216, [ ~( =( 'c_RealVector_Oof__real'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/5.99    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/5.99  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  eqswap(
% 5.64/5.99  clause( 48218, [ =( X, 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X )
% 5.64/5.99    , 'c_Complex_OIm'( X ) ) ) ] )
% 5.64/5.99  , clause( 646, [ =( 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( X ), 
% 5.64/5.99    'c_Complex_OIm'( X ) ), X ) ] )
% 5.64/5.99  , 0, substitution( 0, [ :=( X, X )] )).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  paramod(
% 5.64/5.99  clause( 48221, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ), 
% 5.64/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ] )
% 5.64/5.99  , clause( 889, [ =( 'c_Complex_OIm'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.64/5.99    X, 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 5.64/5.99    'tc_RealDef_Oreal' ) ) ] )
% 5.64/5.99  , 0, clause( 48218, [ =( X, 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( 
% 5.64/5.99    X ), 'c_Complex_OIm'( X ) ) ) ] )
% 5.64/5.99  , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) )] )
% 5.64/5.99    ).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  paramod(
% 5.64/5.99  clause( 48222, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 'c_Complex_ORe'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ), 
% 5.64/5.99    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/5.99  , clause( 882, [ =( 'c_Complex_Ocomplex_OComplex'( X, 
% 5.64/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 5.64/5.99    'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ) ) ] )
% 5.64/5.99  , 0, clause( 48221, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( 'c_Complex_ORe'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ), 
% 5.64/5.99    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ] )
% 5.64/5.99  , 0, 4, substitution( 0, [ :=( X, 'c_Complex_ORe'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ) )] ), 
% 5.64/5.99    substitution( 1, [ :=( X, X )] )).
% 5.64/5.99  
% 5.64/5.99  
% 5.64/5.99  paramod(
% 5.64/5.99  clause( 48223, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/5.99    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 
% 5.64/5.99    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , clause( 890, [ =( 'c_Complex_ORe'( 'c_Nat_Osemiring__1__class_Oof__nat'( 
% 5.64/6.00    X, 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_RealDef_Oreal' ) ) ] )
% 5.64/6.00  , 0, clause( 48222, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 'c_Complex_ORe'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_Complex_Ocomplex' ) ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.64/6.00    ).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  eqswap(
% 5.64/6.00  clause( 48224, [ =( 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , clause( 48223, [ =( 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , 0, substitution( 0, [ :=( X, X )] )).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  subsumption(
% 5.64/6.00  clause( 22986, [ =( 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , clause( 48224, [ =( 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  paramod(
% 5.64/6.00  clause( 48227, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/6.00  , clause( 22986, [ =( 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( X, 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( X, 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ] )
% 5.64/6.00  , 0, clause( 894, [ ~( =( 'c_RealVector_Oof__real'( 
% 5.64/6.00    'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 'tc_RealDef_Oreal' ), 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/6.00  , 0, 2, substitution( 0, [ :=( X, 'v_n' )] ), substitution( 1, [] )).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  eqrefl(
% 5.64/6.00  clause( 48228, [] )
% 5.64/6.00  , clause( 48227, [ ~( =( 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/6.00    'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n', 
% 5.64/6.00    'tc_Complex_Ocomplex' ) ) ) ] )
% 5.64/6.00  , 0, substitution( 0, [] )).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  subsumption(
% 5.64/6.00  clause( 40104, [] )
% 5.64/6.00  , clause( 48228, [] )
% 5.64/6.00  , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  end.
% 5.64/6.00  
% 5.64/6.00  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.64/6.00  
% 5.64/6.00  Memory use:
% 5.64/6.00  
% 5.64/6.00  space for terms:        1211588
% 5.64/6.00  space for clauses:      1923012
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  clauses generated:      161488
% 5.64/6.00  clauses kept:           40105
% 5.64/6.00  clauses selected:       826
% 5.64/6.00  clauses deleted:        851
% 5.64/6.00  clauses inuse deleted:  3
% 5.64/6.00  
% 5.64/6.00  subsentry:          411607
% 5.64/6.00  literals s-matched: 237744
% 5.64/6.00  literals matched:   226114
% 5.64/6.00  full subsumption:   141416
% 5.64/6.00  
% 5.64/6.00  checksum:           788282809
% 5.64/6.00  
% 5.64/6.00  
% 5.64/6.00  Bliksem ended
%------------------------------------------------------------------------------