%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV606-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:27:05 EDT 2022

% Result   : Timeout 300.02s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV606-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Tue Jun 14 15:07:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.00/1.40  *** allocated 10000 integers for termspace/termends
% 1.00/1.40  *** allocated 10000 integers for clauses
% 1.00/1.40  *** allocated 10000 integers for justifications
% 1.00/1.40  *** allocated 15000 integers for termspace/termends
% 1.00/1.40  *** allocated 22500 integers for termspace/termends
% 1.00/1.40  *** allocated 33750 integers for termspace/termends
% 1.00/1.40  Bliksem 1.12
% 1.00/1.40  
% 1.00/1.40  
% 1.00/1.40  Automatic Strategy Selection
% 1.00/1.40  
% 1.00/1.40  Clauses:
% 1.00/1.40  [
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    Y, X ), Z, X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.00/1.40     [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), Y, 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.00/1.40    X ), X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.00/1.40    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Oroot'( Y, X ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.40    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.00/1.40    X ) ) ), =( Z, T ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.00/1.40    X ) ) ), =( Z, T ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.40    X ) ) ), =( Y, T ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.40    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.40    , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.40    'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.40    , Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat'
% 1.00/1.40     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.40     ), Z, 'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.40     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.40    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.40    , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.40    X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.40    X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.00/1.40    X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.00/1.40    , 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Oroot'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.00/1.40    , 'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.40    X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.40    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi', 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.00/1.40    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.40    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.40    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( 
% 1.00/1.40    X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.00/1.40    , 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.40    Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    Z, X ), X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.40     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.40    , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.40     ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    Y, X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~( 
% 1.00/1.40    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.40    X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.40    , 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X, 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.40    'c_Nat_Osemiring__1__class_Oof__nat'( 
% 1.00/1.40    'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'( 
% 1.00/1.40    Y, X ), X ), X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.40    , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.00/1.40    X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.40    X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_NthRoot_Oroot'( Y, X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.40    , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40     [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), T, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    Z, T, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40    , X ) ) ), =( Y, Z ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.40    , X ) ) ), =( Y, Z ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( 
% 1.00/1.40    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40    , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( 
% 1.00/1.40    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( Z, Y ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( Z, Y ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.40    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40    , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.00/1.40     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 1.00/1.40    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.00/1.40    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.00/1.40    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.40    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.40     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.40     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.40    , X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.40    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.40    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.40    , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.40     ), X ), Y ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.40    =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.40    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.40    , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.40    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.40     ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    Y, Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.40    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.40    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.40     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.40     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.40     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.00/1.40    'c_lessequals'( Z, Y, X ) ],
% 1.00/1.40     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.40    'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.00/1.40    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.00/1.40    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.40    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.40     ],
% 1.00/1.40     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.40    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.40    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.40    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.40    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.40    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.00/1.40    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.40     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ) ],
% 1.00/1.40     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.40    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.40     ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40    , X, 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_NthRoot_Oroot'( Y, X ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_NthRoot_Oroot'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.40    , X, 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.40    'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.40     ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_NthRoot_Oroot'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.40    ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.40    'tc_nat' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.40     ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.00/1.40    , X ), X ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.00/1.40    , X ), X ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.40     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.40    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.40    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.40    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.40    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ), Y ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ), Y ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.40     ), Y ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.00/1.40    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.40    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.00/1.40    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.40     [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.40    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.40    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 
% 1.00/1.40    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.40    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.40    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.40    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.40     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.40     ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40     ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.00/1.40    =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.40    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.40     ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.40     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.40    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.40     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.00/1.40    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( 
% 1.00/1.40    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.00/1.40    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.40    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.40    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.40    'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.40    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.40    'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.40    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.40    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.40     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.40    , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.40    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.40     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.40    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.40    ,
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.40    Z, T, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.00/1.40     ],
% 1.00/1.40     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.40    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.40    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.40    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.40    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.40    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.40    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.40     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.40     ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40    , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.40     ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40    , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.40     ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.40    , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40     ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.40     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.40    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.40    , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.40     ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.41    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.41     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.41     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.00/1.41    , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.41    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.41    , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.41    , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.41    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.41    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.41    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.41    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.41    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.41    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.00/1.41    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.00/1.41    , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.00/1.41    X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.00/1.41    , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.41     ), Y, X ) ), =( Z, T ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.41     ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.41     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.00/1.41    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.00/1.41    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.41     ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.41     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.41     ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.00/1.41    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.41     ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.00/1.41    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41    , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.41    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.41    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.41    , X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.41    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.00/1.41    Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.41    Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ), 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.41    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.41    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.41    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41    , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    Y, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.41    , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.41    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.00/1.41    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.41    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, 
% 1.00/1.41    X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.41     ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.00/1.41    X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.41    , Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.41    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.41    , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.41    , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.41    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.00/1.41    X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.41     ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.41    , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.41     ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.00/1.41    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.41     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.41    , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.41     ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.41     ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.41     ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.00/1.41    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.41     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.41    , X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.41     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.41    ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.00/1.41     ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.41    , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ) ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ), =( Y, Z ) ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_NthRoot_Oroot'( Y, Z ) ), 
% 1.00/1.41    'c_NthRoot_Oroot'( Y, 'c_NthRoot_Oroot'( X, Z ) ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.41    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =( 
% 1.00/1.41    Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'( 
% 1.00/1.41    X ) ), =( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.41     ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.41     ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.41     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.41    , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, 
% 1.00/1.41    X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.41    X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.41    X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.41    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.41    X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.41    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, 
% 1.00/1.41    X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, 
% 1.00/1.41    X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.41     ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.41     ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.00/1.41    , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( 
% 1.00/1.41    Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.00/1.41     ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls', 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), =( Y, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Oroot'( 
% 1.00/1.41    X, Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.00/1.41     ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    X, 'tc_nat' ) ), =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.41     ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal'
% 1.00/1.41     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.41     ), X, 'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( Z, X ), 'c_NthRoot_Oroot'( 
% 1.00/1.41    Z, Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Oroot'( X, Y ), 
% 1.00/1.41    'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_NthRoot_Oroot'( Z, X ), 'c_NthRoot_Oroot'( Z, Y ), 'tc_RealDef_Oreal'
% 1.00/1.41     ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.41     ), Z, 'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_NthRoot_Oroot'( X, Y ), 'c_NthRoot_Oroot'( X, Z ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    X, 'tc_nat' ) ), =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.00/1.41    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Oroot'( 
% 1.00/1.41    X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.41    , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi', 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.00/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.00/1.41     [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.00/1.41    , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X, 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.41     [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.41     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.41     ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.41    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.41    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ), 
% 1.00/1.41    'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.41     ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( 
% 1.00/1.41    Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.00/1.41    ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.41     ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.41     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.00/1.41    , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_Transcendental_Ocos'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.41    , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 
% 1.00/1.41    'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.00/1.41    'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.41    , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.00/1.41    , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.00/1.41    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.41    , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.41     ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.41    , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.00/1.41    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.00/1.41    'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.41    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.41    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.41    , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z, 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.41    , X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.41     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.00/1.41    'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'( 
% 1.00/1.41    T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.41     ), Y ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.41     ), Y ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.00/1.41     ) ) ],
% 1.00/1.41     [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Oroot'( 
% 1.00/1.41    X, Y ), 'c_NthRoot_Oroot'( X, Z ), 'tc_RealDef_Oreal' ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_Transcendental_Otan'( X ) ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.41     ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 
% 1.00/1.41    'c_Transcendental_Osin'( X ) ) ],
% 1.00/1.41     [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 
% 1.00/1.41    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.41    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.41    , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.41     ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.41    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.41    , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.41     ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.41    , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.00/1.41    , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.41     ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.41     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'( 
% 1.00/1.41    Y, X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.41    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41    , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.00/1.41    'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.41    , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.00/1.41    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.00/1.41    'tc_Int_Oint' ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), X ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.00/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.00/1.41    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'tc_RealDef_Oreal' ) ],
% 1.00/1.41     [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi', 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.41    'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.00/1.41    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.00/1.41    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.00/1.41    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.41    , T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.41    , Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.41     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.00/1.41    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.41     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.41    , X ) ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.41    , Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.00/1.41     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.00/1.41     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.41     ), 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.41     ), 'tc_nat' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.41    , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.41     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.41    , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.41     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.00/1.41     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y, 
% 1.00/1.41    'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.00/1.41    T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, 
% 1.00/1.41    X ), T, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.41    T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, 
% 1.00/1.41    X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.41    T, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.41    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.41    , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.41     ), =( Z, Y ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.41     ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.41     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.00/1.41    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.41     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.41    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.41    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.41     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.00/1.41    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.00/1.41    , X ), Y ) ],
% 1.00/1.41     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.41    Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.41    , X ), Y ) ],
% 1.00/1.41     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.00/1.41    ,
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.41    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.41     ],
% 1.00/1.41     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.42     ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.42     ],
% 1.00/1.42     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.42    , Y, X ) ) ],
% 1.00/1.42     [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.42    , Y, X ) ) ],
% 1.00/1.42     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.42     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.42     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.42    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.42     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.42     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.00/1.42    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.42     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.42    , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.00/1.42    X ), T, X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.42    , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.00/1.42    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.42     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.00/1.42    'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.00/1.42    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.42     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.00/1.42    'v_n', 'tc_nat' ) ],
% 1.00/1.42     [ ~( =( 'c_Complex_Ocis'( 'c_HOL_Otimes__class_Otimes'( 
% 1.00/1.42    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.00/1.42    'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 
% 1.00/1.42    'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.00/1.42     ) ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.42     ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.00/1.42    'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.00/1.42    'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.00/1.42    'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 
% 1.00/1.42    'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.00/1.42     ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.00/1.42     ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.00/1.42     ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Archimedean__Field_Oarchimedean__field'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.00/1.42    'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.00/1.42    'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.00/1.42    'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.00/1.42     ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.00/1.42     ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42    ,
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.00/1.42     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.00/1.42  ] .
% 1.00/1.42  
% 1.00/1.42  
% 1.00/1.42  percentage equality = 0.163735, percentage horn = 0.856178
% 1.00/1.42  This is a problem with some equality
% 1.00/1.42  
% 1.00/1.42  
% 1.00/1.42  
% 1.00/1.42  Options Used:
% 1.00/1.42  
% 1.00/1.42  useres =            1
% 1.00/1.42  useparamod =        1
% 1.00/1.42  useeqrefl =         1
% 1.00/1.42  useeqfact =         1
% 1.00/1.42  usefactor =         1
% 1.00/1.42  usesimpsplitting =  0
% 1.00/1.42  usesimpdemod =      5
% 1.00/1.42  usesimpres =        3
% 1.00/1.42  
% 1.00/1.42  resimpinuse      =  1000
% 1.00/1.42  resimpclauses =     20000
% 1.00/1.42  substype =          eqrewr
% 1.00/1.42  backwardsubs =      1
% 1.00/1.42  selectoldest =      5
% 1.00/1.42  
% 1.00/1.42  litorderings [0] =  split
% 1.00/1.42  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.00/1.42  
% 1.00/1.42  termordering =      kbo
% 1.00/1.42  
% 1.00/1.42  litapriori =        0
% 1.00/1.42  termapriori =       1
% 1.00/1.42  litaposteriori =    0
% 1.00/1.42  termaposteriori =   0
% 1.00/1.42  demodaposteriori =  0
% 1.00/1.42  ordereqreflfact =   0
% 1.00/1.42  
% 1.00/1.42  litselect =         negord
% 1.00/1.42  
% 1.00/1.42  maxweight =         15
% 1.00/1.42  maxdepth =          30000
% 1.00/1.42  maxlength =         115
% 1.00/1.42  maxnrvars =         195
% 1.00/1.42  excuselevel =       1
% 1.05/1.46  increasemaxweight = 1
% 1.05/1.46  
% 1.05/1.46  maxselected =       10000000
% 1.05/1.46  maxnrclauses =      10000000
% 1.05/1.46  
% 1.05/1.46  showgenerated =    0
% 1.05/1.46  showkept =         0
% 1.05/1.46  showselected =     0
% 1.05/1.46  showdeleted =      0
% 1.05/1.46  showresimp =       1
% 1.05/1.46  showstatus =       2000
% 1.05/1.46  
% 1.05/1.46  prologoutput =     1
% 1.05/1.46  nrgoals =          5000000
% 1.05/1.46  totalproof =       1
% 1.05/1.46  
% 1.05/1.46  Symbols occurring in the translation:
% 1.05/1.46  
% 1.05/1.46  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.05/1.46  .  [1, 2]      (w:1, o:129, a:1, s:1, b:0), 
% 1.05/1.46  !  [4, 1]      (w:0, o:53, a:1, s:1, b:0), 
% 1.05/1.46  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.05/1.46  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.05/1.46  'tc_RealDef_Oreal'  [40, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.05/1.46  'c_HOL_Ouminus__class_Ouminus'  [41, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 1.05/1.46  'c_Transcendental_Otan'  [42, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 1.05/1.46  'class_Ring__and__Field_Ofield'  [44, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 1.05/1.46  'class_Ring__and__Field_Odivision__by__zero'  [45, 1]      (w:1, o:64, a:1
% 1.05/1.46    , s:1, b:0), 
% 1.05/1.46  'c_HOL_Oinverse__class_Odivide'  [48, 3]      (w:1, o:162, a:1, s:1, b:0), 
% 1.05/1.46    
% 1.05/1.46  'c_Transcendental_Osin'  [49, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 1.05/1.46  'c_HOL_Oone__class_Oone'  [50, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 1.05/1.46  'c_lessequals'  [51, 3]      (w:1, o:163, a:1, s:1, b:0), 
% 1.05/1.46  'class_Ring__and__Field_Oordered__idom'  [52, 1]      (w:1, o:69, a:1, s:1
% 1.05/1.46    , b:0), 
% 1.05/1.46  'c_HOL_Osgn__class_Osgn'  [53, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 1.05/1.46  'c_NthRoot_Oroot'  [55, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 1.05/1.46  'c_HOL_Ozero__class_Ozero'  [56, 1]      (w:1, o:70, a:1, s:1, b:0), 
% 1.05/1.46  'c_HOL_Oord__class_Oless'  [57, 3]      (w:1, o:164, a:1, s:1, b:0), 
% 1.05/1.46  'c_HOL_Otimes__class_Otimes'  [58, 3]      (w:1, o:165, a:1, s:1, b:0), 
% 1.05/1.46  'class_Ring__and__Field_Ocomm__semiring__1'  [60, 1]      (w:1, o:62, a:1
% 1.05/1.46    , s:1, b:0), 
% 1.05/1.46  'c_HOL_Oplus__class_Oplus'  [61, 3]      (w:1, o:166, a:1, s:1, b:0), 
% 1.05/1.46  'tc_Int_Oint'  [66, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 1.05/1.46  'tc_nat'  [67, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 1.05/1.46  'c_Int_Onumber__class_Onumber__of'  [68, 2]      (w:1, o:158, a:1, s:1, b:0
% 1.05/1.46    ), 
% 1.05/1.46  'class_Ring__and__Field_Oidom'  [71, 1]      (w:1, o:71, a:1, s:1, b:0), 
% 1.05/1.46  'class_Int_Onumber__ring'  [72, 1]      (w:1, o:72, a:1, s:1, b:0), 
% 1.05/1.46  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [74, 1]      (w:1, o:74
% 1.05/1.46    , a:1, s:1, b:0), 
% 1.05/1.46  'class_OrderedGroup_Ocancel__semigroup__add'  [75, 1]      (w:1, o:75, a:1
% 1.05/1.46    , s:1, b:0), 
% 1.05/1.46  'c_Transcendental_Ocos'  [76, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 1.05/1.46  'c_Transcendental_Opi'  [77, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 1.05/1.46  'c_Power_Opower__class_Opower'  [79, 3]      (w:1, o:167, a:1, s:1, b:0), 
% 1.05/1.46  'class_OrderedGroup_Opordered__ab__group__add'  [80, 1]      (w:1, o:78, a:
% 1.05/1.46    1, s:1, b:0), 
% 1.05/1.46  'class_OrderedGroup_Oab__group__add'  [81, 1]      (w:1, o:79, a:1, s:1, b:
% 1.05/1.46    0), 
% 1.05/1.46  'class_OrderedGroup_Opordered__comm__monoid__add'  [84, 1]      (w:1, o:80
% 1.05/1.46    , a:1, s:1, b:0), 
% 1.05/1.46  'class_OrderedGroup_Opordered__ab__semigroup__add'  [85, 1]      (w:1, o:81
% 1.05/1.46    , a:1, s:1, b:0), 
% 1.05/1.46  'class_Ring__and__Field_Oordered__field'  [86, 1]      (w:1, o:82, a:1, s:1
% 1.05/1.46    , b:0), 
% 1.05/1.46  'c_HOL_Oinverse__class_Oinverse'  [87, 2]      (w:1, o:157, a:1, s:1, b:0)
% 1.05/1.46    , 
% 1.05/1.46  'class_OrderedGroup_Olordered__ab__group__add'  [88, 1]      (w:1, o:83, a:
% 1.05/1.47    1, s:1, b:0), 
% 1.05/1.47  'class_Ring__and__Field_Oordered__semidom'  [89, 1]      (w:1, o:85, a:1
% 1.05/1.47    , s:1, b:0), 
% 1.05/1.47  'class_OrderedGroup_Oordered__ab__group__add'  [90, 1]      (w:1, o:77, a:1
% 1.05/1.47    , s:1, b:0), 
% 1.05/1.47  'class_OrderedGroup_Ocomm__monoid__add'  [91, 1]      (w:1, o:86, a:1, s:1
% 1.05/1.47    , b:0), 
% 1.05/1.47  'class_OrderedGroup_Ogroup__add'  [92, 1]      (w:1, o:87, a:1, s:1, b:0), 
% 1.05/1.47    
% 1.05/1.47  'class_Ring__and__Field_Odivision__ring'  [93, 1]      (w:1, o:88, a:1, s:1
% 1.05/1.47    , b:0), 
% 1.05/1.47  'class_Orderings_Opreorder'  [94, 1]      (w:1, o:90, a:1, s:1, b:0), 
% 1.05/1.47  'class_Orderings_Oorder'  [95, 1]      (w:1, o:89, a:1, s:1, b:0), 
% 1.05/1.47  'class_Archimedean__Field_Oarchimedean__field'  [99, 1]      (w:1, o:91, a:
% 1.05/1.47    1, s:1, b:0), 
% 1.05/1.47  
% 1.05/1.47    'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'
% 1.05/1.47      [100, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 1.05/1.47  'c_Nat_Osemiring__1__class_Oof__nat'  [101, 2]      (w:1, o:160, a:1, s:1
% 1.05/1.47    , b:0), 
% 1.05/1.47  'class_RealVector_Oreal__normed__vector'  [102, 1]      (w:1, o:92, a:1, s:
% 7.80/8.19    1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [103, 1]      
% 7.80/8.19    (w:1, o:93, a:1, s:1, b:0), 
% 7.80/8.19  'class_Lattices_Oboolean__algebra'  [104, 1]      (w:1, o:94, a:1, s:1, b:0
% 7.80/8.19    ), 
% 7.80/8.19  'class_Nat_Osemiring__char__0'  [105, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Oab__semigroup__add'  [107, 1]      (w:1, o:95, a:1, s:
% 7.80/8.19    1, b:0), 
% 7.80/8.19  'class_RealVector_Oreal__normed__field'  [108, 1]      (w:1, o:96, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_Orderings_Olinorder'  [109, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Osemiring__0'  [110, 1]      (w:1, o:102, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_Power_Opower'  [111, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Omonoid__mult'  [112, 1]      (w:1, o:103, a:1, s:1, b:
% 7.80/8.19    0), 
% 7.80/8.19  'c_Int_OPls'  [113, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 7.80/8.19  'c_Int_OBit1'  [114, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 7.80/8.19  'c_Int_OBit0'  [115, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oordered__ring__strict'  [116, 1]      (w:1, o:84
% 7.80/8.19    , a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Omult__mono1'  [117, 1]      (w:1, o:112, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_Ring__and__Field_Ozero__neq__one'  [118, 1]      (w:1, o:113, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Ono__zero__divisors'  [119, 1]      (w:1, o:68, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Omult__zero'  [120, 1]      (w:1, o:66, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [122, 1]      
% 7.80/8.19    (w:1, o:104, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Osemiring__1'  [123, 1]      (w:1, o:114, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'c_Int_Oiszero'  [124, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Osgn__if'  [125, 1]      (w:1, o:115, a:1, s:1, b:0
% 7.80/8.19    ), 
% 7.80/8.19  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [126, 1]      (w:1
% 7.80/8.19    , o:98, a:1, s:1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Omonoid__add'  [127, 1]      (w:1, o:105, a:1, s:1, b:0
% 7.80/8.19    ), 
% 7.80/8.19  'class_Ring__and__Field_Omult__mono'  [128, 1]      (w:1, o:67, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_Ring__and__Field_Opordered__ring'  [129, 1]      (w:1, o:119, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Opordered__cancel__semiring'  [131, 1]      (w:1
% 7.80/8.19    , o:120, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Opordered__semiring'  [132, 1]      (w:1, o:121, a:
% 7.80/8.19    1, s:1, b:0), 
% 7.80/8.19  'class_Int_Onumber'  [133, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Osemiring'  [134, 1]      (w:1, o:123, a:1, s:1, b:
% 7.80/8.19    0), 
% 7.80/8.19  'class_Int_Oring__char__0'  [135, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 7.80/8.19  'class_RealVector_Oreal__normed__div__algebra'  [136, 1]      (w:1, o:125
% 7.80/8.19    , a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oring'  [137, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 7.80/8.19  'class_RealVector_Oreal__normed__algebra'  [138, 1]      (w:1, o:126, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Ocomm__semiring'  [140, 1]      (w:1, o:63, a:1, s:
% 7.80/8.19    1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Ocomm__monoid__mult'  [143, 1]      (w:1, o:106, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oring__1'  [146, 1]      (w:1, o:100, a:1, s:1, b:0
% 7.80/8.19    ), 
% 7.80/8.19  'class_RealVector_Oreal__normed__algebra__1'  [147, 1]      (w:1, o:127, a:
% 7.80/8.19    1, s:1, b:0), 
% 7.80/8.19  'c_Complex_Ocis'  [151, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 7.80/8.19  'tc_Complex_Ocomplex'  [152, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oordered__semiring__strict'  [153, 1]      (w:1, o:
% 7.80/8.19    116, a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oordered__semiring'  [154, 1]      (w:1, o:117, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Ocomm__ring__1'  [155, 1]      (w:1, o:61, a:1, s:1
% 7.80/8.19    , b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oring__no__zero__divisors'  [158, 1]      (w:1, o:
% 7.80/8.19    101, a:1, s:1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Oab__semigroup__mult'  [164, 1]      (w:1, o:107, a:1
% 7.80/8.19    , s:1, b:0), 
% 7.80/8.19  'class_OrderedGroup_Oab__semigroup__idem__mult'  [165, 1]      (w:1, o:108
% 7.80/8.19    , a:1, s:1, b:0), 
% 7.80/8.19  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [166, 1]      
% 7.80/8.19    (w:1, o:118, a:1, s:1, b:0), 
% 7.80/8.19  'v_n'  [167, 0]      (w:1, o:52, a:1, s:1, b:0).
% 7.80/8.19  
% 7.80/8.19  
% 7.80/8.19  Starting Search:
% 7.80/8.19  
% 7.80/8.19  Resimplifying inuse:
% 7.80/8.19  Done
% 7.80/8.19  
% 7.80/8.19  
% 7.80/8.19  Intermediate Status:
% 7.80/8.19  Generated:    4195
% 7.80/8.19  Kept:         2004
% 7.80/8.19  Inuse:        134
% 7.80/8.19  Deleted:      13
% 7.80/8.19  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    10113
% 36.80/37.17  Kept:         4005
% 36.80/37.17  Inuse:        299
% 36.80/37.17  Deleted:      25
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    19030
% 36.80/37.17  Kept:         6245
% 36.80/37.17  Inuse:        409
% 36.80/37.17  Deleted:      32
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    24258
% 36.80/37.17  Kept:         8665
% 36.80/37.17  Inuse:        447
% 36.80/37.17  Deleted:      34
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    33883
% 36.80/37.17  Kept:         10730
% 36.80/37.17  Inuse:        498
% 36.80/37.17  Deleted:      38
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    45335
% 36.80/37.17  Kept:         12842
% 36.80/37.17  Inuse:        575
% 36.80/37.17  Deleted:      41
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    55896
% 36.80/37.17  Kept:         15848
% 36.80/37.17  Inuse:        585
% 36.80/37.17  Deleted:      41
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    66995
% 36.80/37.17  Kept:         19014
% 36.80/37.17  Inuse:        600
% 36.80/37.17  Deleted:      41
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying clauses:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    78538
% 36.80/37.17  Kept:         21018
% 36.80/37.17  Inuse:        638
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    87152
% 36.80/37.17  Kept:         23115
% 36.80/37.17  Inuse:        656
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    98931
% 36.80/37.17  Kept:         25171
% 36.80/37.17  Inuse:        711
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    107688
% 36.80/37.17  Kept:         27887
% 36.80/37.17  Inuse:        723
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    121851
% 36.80/37.17  Kept:         30503
% 36.80/37.17  Inuse:        781
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    135001
% 36.80/37.17  Kept:         32903
% 36.80/37.17  Inuse:        836
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    149184
% 36.80/37.17  Kept:         34915
% 36.80/37.17  Inuse:        871
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    158884
% 36.80/37.17  Kept:         37057
% 36.80/37.17  Inuse:        896
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    168968
% 36.80/37.17  Kept:         39193
% 36.80/37.17  Inuse:        921
% 36.80/37.17  Deleted:      230
% 36.80/37.17  Deletedinuse: 0
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying clauses:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    182901
% 36.80/37.17  Kept:         41271
% 36.80/37.17  Inuse:        975
% 36.80/37.17  Deleted:      1922
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    197552
% 36.80/37.17  Kept:         43528
% 36.80/37.17  Inuse:        1024
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    214355
% 36.80/37.17  Kept:         46815
% 36.80/37.17  Inuse:        1045
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    225266
% 36.80/37.17  Kept:         48834
% 36.80/37.17  Inuse:        1087
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    236008
% 36.80/37.17  Kept:         50981
% 36.80/37.17  Inuse:        1114
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    245927
% 36.80/37.17  Kept:         53051
% 36.80/37.17  Inuse:        1154
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    257207
% 36.80/37.17  Kept:         55320
% 36.80/37.17  Inuse:        1184
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    268527
% 36.80/37.17  Kept:         57419
% 36.80/37.17  Inuse:        1194
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  Resimplifying inuse:
% 36.80/37.17  Done
% 36.80/37.17  
% 36.80/37.17  
% 36.80/37.17  Intermediate Status:
% 36.80/37.17  Generated:    278870
% 36.80/37.17  Kept:         59442
% 36.80/37.17  Inuse:        1232
% 36.80/37.17  Deleted:      1923
% 36.80/37.17  Deletedinuse: 3
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying clauses:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    298301
% 129.84/130.25  Kept:         63264
% 129.84/130.25  Inuse:        1245
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    307274
% 129.84/130.25  Kept:         65423
% 129.84/130.25  Inuse:        1299
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    317779
% 129.84/130.25  Kept:         67916
% 129.84/130.25  Inuse:        1324
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    325359
% 129.84/130.25  Kept:         71972
% 129.84/130.25  Inuse:        1344
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    337110
% 129.84/130.25  Kept:         75487
% 129.84/130.25  Inuse:        1354
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    377162
% 129.84/130.25  Kept:         77504
% 129.84/130.25  Inuse:        1367
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    388470
% 129.84/130.25  Kept:         79818
% 129.84/130.25  Inuse:        1374
% 129.84/130.25  Deleted:      2171
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying clauses:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    395845
% 129.84/130.25  Kept:         81819
% 129.84/130.25  Inuse:        1383
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    407146
% 129.84/130.25  Kept:         84189
% 129.84/130.25  Inuse:        1389
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    416089
% 129.84/130.25  Kept:         86478
% 129.84/130.25  Inuse:        1409
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    423478
% 129.84/130.25  Kept:         88489
% 129.84/130.25  Inuse:        1421
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    433686
% 129.84/130.25  Kept:         90797
% 129.84/130.25  Inuse:        1459
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    440880
% 129.84/130.25  Kept:         92917
% 129.84/130.25  Inuse:        1484
% 129.84/130.25  Deleted:      3144
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    450155
% 129.84/130.25  Kept:         94945
% 129.84/130.25  Inuse:        1507
% 129.84/130.25  Deleted:      3145
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    460886
% 129.84/130.25  Kept:         99197
% 129.84/130.25  Inuse:        1519
% 129.84/130.25  Deleted:      3145
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    470740
% 129.84/130.25  Kept:         101471
% 129.84/130.25  Inuse:        1538
% 129.84/130.25  Deleted:      3145
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying clauses:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    480337
% 129.84/130.25  Kept:         103812
% 129.84/130.25  Inuse:        1558
% 129.84/130.25  Deleted:      3313
% 129.84/130.25  Deletedinuse: 4
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    489447
% 129.84/130.25  Kept:         106124
% 129.84/130.25  Inuse:        1578
% 129.84/130.25  Deleted:      3317
% 129.84/130.25  Deletedinuse: 8
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    517442
% 129.84/130.25  Kept:         109014
% 129.84/130.25  Inuse:        1588
% 129.84/130.25  Deleted:      3317
% 129.84/130.25  Deletedinuse: 8
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    533229
% 129.84/130.25  Kept:         112009
% 129.84/130.25  Inuse:        1598
% 129.84/130.25  Deleted:      3317
% 129.84/130.25  Deletedinuse: 8
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    542770
% 129.84/130.25  Kept:         114046
% 129.84/130.25  Inuse:        1618
% 129.84/130.25  Deleted:      3317
% 129.84/130.25  Deletedinuse: 8
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    552732
% 129.84/130.25  Kept:         116099
% 129.84/130.25  Inuse:        1638
% 129.84/130.25  Deleted:      3317
% 129.84/130.25  Deletedinuse: 8
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    568024
% 129.84/130.25  Kept:         118374
% 129.84/130.25  Inuse:        1657
% 129.84/130.25  Deleted:      3321
% 129.84/130.25  Deletedinuse: 11
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  Resimplifying inuse:
% 129.84/130.25  Done
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    578259
% 129.84/130.25  Kept:         120460
% 129.84/130.25  Inuse:        1677
% 129.84/130.25  Deleted:      3321
% 129.84/130.25  Deletedinuse: 11
% 129.84/130.25  
% 129.84/130.25  
% 129.84/130.25  Intermediate Status:
% 129.84/130.25  Generated:    600038
% 129.84/130.25  Kept:         123069
% 226.85/227.25  Inuse:        1682
% 226.85/227.25  Deleted:      3321
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying clauses:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    630242
% 226.85/227.25  Kept:         125447
% 226.85/227.25  Inuse:        1697
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    658914
% 226.85/227.25  Kept:         127505
% 226.85/227.25  Inuse:        1707
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    670286
% 226.85/227.25  Kept:         129717
% 226.85/227.25  Inuse:        1717
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    697163
% 226.85/227.25  Kept:         132972
% 226.85/227.25  Inuse:        1722
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    708415
% 226.85/227.25  Kept:         135038
% 226.85/227.25  Inuse:        1747
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    732488
% 226.85/227.25  Kept:         140393
% 226.85/227.25  Inuse:        1758
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    745641
% 226.85/227.25  Kept:         142445
% 226.85/227.25  Inuse:        1768
% 226.85/227.25  Deleted:      3710
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying clauses:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    758190
% 226.85/227.25  Kept:         144490
% 226.85/227.25  Inuse:        1778
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    771174
% 226.85/227.25  Kept:         146859
% 226.85/227.25  Inuse:        1792
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    780780
% 226.85/227.25  Kept:         149026
% 226.85/227.25  Inuse:        1807
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    790616
% 226.85/227.25  Kept:         151076
% 226.85/227.25  Inuse:        1829
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    798976
% 226.85/227.25  Kept:         153193
% 226.85/227.25  Inuse:        1847
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    808092
% 226.85/227.25  Kept:         155217
% 226.85/227.25  Inuse:        1867
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    829810
% 226.85/227.25  Kept:         159438
% 226.85/227.25  Inuse:        1882
% 226.85/227.25  Deleted:      3954
% 226.85/227.25  Deletedinuse: 11
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    846087
% 226.85/227.25  Kept:         162251
% 226.85/227.25  Inuse:        1887
% 226.85/227.25  Deleted:      3958
% 226.85/227.25  Deletedinuse: 15
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying clauses:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    856435
% 226.85/227.25  Kept:         164294
% 226.85/227.25  Inuse:        1909
% 226.85/227.25  Deleted:      5039
% 226.85/227.25  Deletedinuse: 15
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    892198
% 226.85/227.25  Kept:         168370
% 226.85/227.25  Inuse:        1927
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    932209
% 226.85/227.25  Kept:         171537
% 226.85/227.25  Inuse:        1937
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    964850
% 226.85/227.25  Kept:         174222
% 226.85/227.25  Inuse:        1957
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    978366
% 226.85/227.25  Kept:         176277
% 226.85/227.25  Inuse:        1966
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    989643
% 226.85/227.25  Kept:         178441
% 226.85/227.25  Inuse:        1982
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    1036652
% 226.85/227.25  Kept:         182014
% 226.85/227.25  Inuse:        1987
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    1050413
% 226.85/227.25  Kept:         184077
% 226.85/227.25  Inuse:        2019
% 226.85/227.25  Deleted:      5047
% 226.85/227.25  Deletedinuse: 23
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying clauses:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  Resimplifying inuse:
% 226.85/227.25  Done
% 226.85/227.25  
% 226.85/227.25  
% 226.85/227.25  Intermediate Status:
% 226.85/227.25  Generated:    1062611
% 226.85/227.25  Kept:         186303
% 226.85/227.25  Inuse:        2042
% 226.85/227.25  Deleted:      6Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------