Bliksem---1.12.TMO-Non.f

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV702-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 16:27:54 EDT 2022

% Result   : Timeout 300.01s 300.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV702-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun 14 14:47:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.10/1.46  *** allocated 10000 integers for termspace/termends
% 1.10/1.46  *** allocated 10000 integers for clauses
% 1.10/1.46  *** allocated 10000 integers for justifications
% 1.10/1.46  *** allocated 15000 integers for termspace/termends
% 1.10/1.46  *** allocated 22500 integers for termspace/termends
% 1.10/1.46  *** allocated 33750 integers for termspace/termends
% 1.10/1.46  Bliksem 1.12
% 1.10/1.46  
% 1.10/1.46  
% 1.10/1.46  Automatic Strategy Selection
% 1.10/1.46  
% 1.10/1.46  Clauses:
% 1.10/1.46  [
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.10/1.46    , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.10/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ), Y )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.10/1.46    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.10/1.46    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.10/1.46    , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.10/1.46    , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.10/1.46    , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.46    Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.46    'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.46    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.10/1.46    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.46    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.10/1.46    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.46    'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.10/1.46    'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y, 
% 1.10/1.46    'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.46     ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.10/1.46    hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.10/1.46    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.10/1.46    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.10/1.46    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.10/1.46     ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.46    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.46    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.46     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.46    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 
% 1.10/1.46    'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.10/1.46    , ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.10/1.46    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.10/1.46    , ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.10/1.46    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( T, X ), X ) )
% 1.10/1.46    , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.10/1.46     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.10/1.46    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.10/1.46     ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.10/1.46    , 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.10/1.46    , 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.10/1.46     ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'( 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Z ), Y ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Y ), Z ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    X ), Z ), Y ), X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.46    , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.46     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.46    , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.46     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.10/1.46    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.10/1.46    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.10/1.46     ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.10/1.46     ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, 
% 1.10/1.46    Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.10/1.46    hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 
% 1.10/1.46    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.10/1.46     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.10/1.46    X ) ) ) ],
% 1.10/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    Y, Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.10/1.46    X ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 
% 1.10/1.46    X ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.10/1.46    , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP( 
% 1.10/1.46    hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.10/1.46    , V0, U, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP( 
% 1.10/1.46    hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.10/1.46    , V0, U, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ), 
% 1.10/1.46    Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    X, T, U, Y, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    X, T, U, Z, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.10/1.46    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, Y, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, Z, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, W, Y, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, W, Z, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.10/1.46    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.10/1.46    , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.10/1.46    , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.10/1.46    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.10/1.46    W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.10/1.46    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.10/1.46    W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.10/1.46    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.10/1.46    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.10/1.46    W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.10/1.46    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.10/1.46    W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    X, T, U, Y, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, Y, W, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.10/1.46    T, X, U, W, Y, V0 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.10/1.46    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.10/1.46    , V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP( 
% 1.10/1.46    hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.10/1.46    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.10/1.46    'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.10/1.46    , T, X ), X ), T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.46     ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.10/1.46    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.10/1.46    , X ) ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.10/1.46    , X ) ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( T, X ) ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.46     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.46    'tc_nat' ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.46    , Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.46    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.10/1.46    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.10/1.46    , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.10/1.46     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.10/1.46     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.46    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.46    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.10/1.46    , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.10/1.46    , X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.10/1.46    , X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.46    'tc_nat' ) ), Y ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.46    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.10/1.46     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.46     ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 
% 1.10/1.46    X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.10/1.46     ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.10/1.46    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.46     ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.46    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.46    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.46     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Z, X ) ), X ) ],
% 1.10/1.46     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.46    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.10/1.46    , T, X ) ) ), =( Z, T ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.10/1.46    , T, X ) ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.10/1.46     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.10/1.46     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 1.10/1.46     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.10/1.46    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.10/1.46    'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.46    'c_Int_OMin', X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.46    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.46    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 
% 1.10/1.46    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.46    , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.46    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.46    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.10/1.46    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X
% 1.10/1.46    , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.46    Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.46    X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.10/1.46    , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.10/1.46     ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.10/1.46    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.10/1.46    , Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.10/1.46    'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.10/1.46     ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.46    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.46    'c_Int_OMin', X ) ), Y ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46     ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 
% 1.10/1.46    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y, 
% 1.10/1.46    'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.10/1.46    , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.10/1.46     ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.46     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X
% 1.10/1.46    , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), Y ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.46    Z ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.46     ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.46     ), T ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.46     ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.10/1.46     ), T ) ) ) ],
% 1.10/1.46     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ), 
% 1.10/1.46    hBOOL( hAPP( X, Z ) ) ],
% 1.10/1.46     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ), 
% 1.10/1.46    hBOOL( hAPP( X, Z ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, 
% 1.10/1.46    Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.10/1.46    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.10/1.46    , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.10/1.46    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ) ), 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ) ), X ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.10/1.46     ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.10/1.46    ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.46    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.10/1.46    X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ) ) ],
% 1.10/1.46     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.46    'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.10/1.46    , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46     ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.10/1.46    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.10/1.46    , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z, 
% 1.10/1.46    X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.10/1.46    , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.10/1.46    , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 
% 1.10/1.46    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.10/1.46    'tc_nat' ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.10/1.46     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.10/1.46     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.10/1.46    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.10/1.46    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z, 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.46    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.10/1.46     ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.10/1.46     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.46     ) ) ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.46     ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.10/1.46     ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, 'c_Divides_Odiv__class_Omod'( X, Y, 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, 'c_Divides_Odiv__class_Omod'( Y, X, 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.10/1.46    , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ), X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.10/1.46    , Y ), Z ), X ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.46    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 1.10/1.46    'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.10/1.46    'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), Z
% 1.10/1.46     ), 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.46     ), Y ), Z ), X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    Z, X ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ), 
% 1.10/1.46    ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.10/1.46     [ ~( 'class_Divides_Oring__div'( X ) ), ~( =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.10/1.46    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.10/1.46    , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T, 
% 1.10/1.46    X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ =( X, hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ =( hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.10/1.46    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y, 
% 1.10/1.46    'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.46    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), 
% 1.10/1.46    'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.10/1.46    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.10/1.46     [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL( 
% 1.10/1.46    hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.46    'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.10/1.46    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.10/1.46    , Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 1.10/1.46     ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.10/1.46     ) ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.46    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.46    Y, 'tc_nat' ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.10/1.46    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.10/1.46    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.10/1.46    , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.46    , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.10/1.46    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( 
% 1.10/1.46    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.46    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.46     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.10/1.46     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.46    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.10/1.46     ), Y ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.10/1.46     ), Y ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.10/1.46     ), Y ) ],
% 1.10/1.46     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.10/1.46     ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.10/1.46    X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 
% 1.10/1.46    'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.46     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.46    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.46    'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.46    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.46    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.46     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.46    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.46    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.46    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), 
% 1.10/1.46    'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.10/1.46    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.46    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.10/1.46     ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.10/1.46    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.46     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.10/1.46    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.10/1.46    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.10/1.46    , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    Z, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.46    'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.10/1.46    , X ), X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.10/1.46    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.46    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.46    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.10/1.46     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.46    , X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.46    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.10/1.46    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.10/1.46    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.46    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.10/1.46    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.10/1.46    ,
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.46    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.10/1.46    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.46    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.46    T, X ) ) ],
% 1.10/1.46     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.46    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.46    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.10/1.47    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.10/1.47    'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.47    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.10/1.47    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, T, X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ), X ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.10/1.47     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.10/1.47    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( Y, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.10/1.47     ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.47     ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.47     ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.10/1.47    , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.10/1.47    , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.47     ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.10/1.47     ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.10/1.47    X ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.10/1.47    'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.10/1.47    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.10/1.47    , Y ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.10/1.47    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.10/1.47    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.10/1.47     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 1.10/1.47    'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.10/1.47    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.47    Y, X ), X ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.10/1.47    'c_lessequals'( Z, Y, X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 
% 1.10/1.47    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.47    , Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.10/1.47    X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_FFT__Mirabelle_OFFT'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.10/1.47     ), X ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.10/1.47    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.10/1.47    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.10/1.47    , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.10/1.47    , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.10/1.47     ) ), U ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 1.10/1.47     ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.10/1.47     ) ), Z ) ), T ), W ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 1.10/1.47     ) ), Z ) ), W ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), T ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.10/1.47    T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.10/1.47    T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.10/1.47     ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.10/1.47     ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, 
% 1.10/1.47    T, X ) ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.10/1.47     ) ), Z ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.47    Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.10/1.47     ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 1.10/1.47     ) ), U ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), T ), U ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.10/1.47     ) ), T ) ), U ), W, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.10/1.47     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.10/1.47     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.10/1.47     ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.10/1.47     ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    Y, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.10/1.47    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.10/1.47    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'( 
% 1.10/1.47    Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.10/1.47    , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), T ), Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.10/1.47    , Z ) ), Z ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.10/1.47    'c_lessequals'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.10/1.47    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.10/1.47     ), Z ), Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.10/1.47     ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.10/1.47    , X ) ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.10/1.47     ), Z ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.10/1.47    Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), Z, X ), Y ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OMin', X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), 
% 1.10/1.47    'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.10/1.47    Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.10/1.47     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.10/1.47    'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.10/1.47     ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ), X ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.10/1.47    , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), 
% 1.10/1.47    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.47    , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.10/1.47    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.10/1.47    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.47     ), Z ) ), T ) ) ],
% 1.10/1.47     [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( 
% 1.10/1.47    X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y
% 1.10/1.47     ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.10/1.47    , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.10/1.47     ), T ), U ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.10/1.47    Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.47     ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.10/1.47     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.47    , X ) ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.10/1.47     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( T, X ) ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.10/1.47     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.10/1.47    , T ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.10/1.47    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.10/1.47     ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.10/1.47    'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.47    ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.47     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.10/1.47    , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.10/1.47    , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.47    'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.47    , Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.47    , X, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.47    , X, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.10/1.47     ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.10/1.47     ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ), =( Y, Z ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.10/1.47    , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y )
% 1.10/1.47    , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 
% 1.10/1.47    hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), 
% 1.10/1.47    X ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.10/1.47     ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.10/1.47    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.10/1.47     ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.10/1.47     ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ), W, X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.10/1.47    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.10/1.47    X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), 
% 1.10/1.47    X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.10/1.47    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.10/1.47     ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.10/1.47    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.47    'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.47    X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.47    X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.47    'c_Suc', Y ) ) ) ],
% 1.10/1.47     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.10/1.47    'c_Suc', X ), Y, 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.10/1.47    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.10/1.47    V0, V1 ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.10/1.47    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.10/1.47    V0, V1 ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ), 
% 1.10/1.47    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.10/1.47    , V0, V1 ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ), 
% 1.10/1.47    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.10/1.47    , V0, V1 ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.10/1.47     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.10/1.47    hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 
% 1.10/1.47    hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.10/1.47    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.10/1.47     ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.10/1.47    , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.10/1.47    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), Y ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.10/1.47    , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.10/1.47    =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.47     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.10/1.47    , Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( Y, X ) ), Z ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 
% 1.10/1.47    'c_Suc', Y ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.10/1.47    , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.10/1.47     ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.10/1.47    , Z ), Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.10/1.47    , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.10/1.47    , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.10/1.47    , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.10/1.47    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    X, T, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.10/1.47    , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.10/1.47    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.10/1.47    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.47     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.47    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.10/1.47    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.10/1.47    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.10/1.47     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.10/1.47     ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y, 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.10/1.47    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.10/1.47    , Z ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.10/1.47    , Z ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.10/1.47    , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.10/1.47    'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Y ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), X ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Y ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), X ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 
% 1.10/1.47    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.10/1.47    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.10/1.47    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.10/1.47     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =( 
% 1.10/1.47    'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.10/1.47     ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.10/1.47    , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ), X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.10/1.47    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), 
% 1.10/1.47    'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.10/1.47     ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'( 
% 1.10/1.47    X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.10/1.47    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.10/1.47    'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.10/1.47    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ), X ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 'c_HOL_Ouminus__class_Ouminus'( 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.10/1.47    'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.10/1.47    , X, Z, U, W, V0 ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.10/1.47    , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.10/1.47    'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.10/1.47     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.10/1.47    'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.10/1.47     ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.10/1.47    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.10/1.47    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.10/1.47     ) ],
% 1.10/1.47     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.10/1.47    'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.10/1.47    , Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.10/1.47     ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    'tc_nat' ), X ), X ) ) ],
% 1.10/1.47     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP( 
% 1.10/1.47    hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.10/1.47    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.10/1.47     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.10/1.47     ) ), 'c_Complex_Oii' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.10/1.47    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.10/1.47    =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.10/1.47    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.10/1.47    T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~( 
% 1.10/1.47    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.10/1.47     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.10/1.47     ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.10/1.47    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.10/1.47    X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.10/1.47     [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X, 
% 1.10/1.47    'tc_nat', 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.10/1.47    X ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ), X ) )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.10/1.47     ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.10/1.47    , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), 
% 1.10/1.47    'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'( 
% 1.10/1.47    X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.10/1.47     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.10/1.47     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.10/1.47     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.10/1.47     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 
% 1.10/1.47    'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.10/1.47     [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 
% 1.10/1.47    'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.10/1.47     [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.10/1.47    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.10/1.47    , X ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.47    , Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.47    , Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.10/1.47    T, X ) ) ],
% 1.10/1.47     [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), X, Y ), hAPP( 
% 1.10/1.47    'c_FFT__Mirabelle_OFFT'( 'v_ka____', X ), Y ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) )
% 1.10/1.47     ],
% 1.10/1.47     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.10/1.47    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.10/1.47    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 1.10/1.47    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.10/1.47     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.47    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.47    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.10/1.47    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.47    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.10/1.47     [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.10/1.47     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.10/1.47     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', 'v_ka____' ) ), 'tc_nat' )
% 1.10/1.47     ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OPls', X ) ), Y ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 
% 1.10/1.47    'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.10/1.47    , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.10/1.47     [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.10/1.47     [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Z ), Y ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.10/1.47     ), Y ), Z ), 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.10/1.47     ), =( Z, Y ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.47    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.10/1.47     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.10/1.47    'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 
% 1.10/1.47    Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.47    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.10/1.47    , Y ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.10/1.47    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.10/1.47     ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.10/1.47     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.10/1.47     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.10/1.47    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.10/1.47    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.10/1.47    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.10/1.47    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.10/1.47     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.10/1.47    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.10/1.47    , X ) ), T ) ) ) ],
% 1.10/1.47     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.10/1.47     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.10/1.47     ) ],
% 1.10/1.47     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ), 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ), 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP( 
% 1.10/1.47    'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.10/1.47    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.10/1.47     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.10/1.47    , Y ) ) ],
% 1.10/1.47     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ), 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 
% 1.10/1.47    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ), 
% 1.10/1.47    'tc_nat' ) ) ],
% 1.10/1.47     [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ), 
% 1.10/1.47    'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.10/1.47     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' )
% 1.10/1.47    , 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'c_COMBB'( 
% 1.10/1.47    'v_a____', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.10/1.47     ), 'v_i____' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ) ) ) ), 'v_i____' ) ), 
% 1.10/1.47    'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'c_COMBB'( 
% 1.10/1.47    'v_a____', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.10/1.47    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 
% 1.10/1.47    'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'v_i____' ) ) )
% 1.10/1.47    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), hAPP( 
% 1.10/1.47    'c_FFT__Mirabelle_OFFT'( 'v_ka____', 'c_COMBB'( 'v_a____', hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.10/1.47     ) ), 'v_i____' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.10/1.47    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 
% 1.10/1.47    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.10/1.47    'c_Power_Opower__class_Opower'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ) ) ) ), 'v_i____' ) ), hAPP( 
% 1.10/1.47    'c_FFT__Mirabelle_OFFT'( 'v_ka____', 'c_COMBB'( 'v_a____', 'c_COMBB'( 
% 1.10/1.47    'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.10/1.47    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.10/1.47    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.10/1.47    , 'tc_Complex_Ocomplex', 'tc_nat' ) ), 'v_i____' ) ) ) ) ) ],
% 1.10/1.47     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.10/1.47     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Orderings_Opreorder'( Y ) ) ],
% 1.10/1.47     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.10/1.47    'class_Orderings_Oorder'( Y ) ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.10/1.47     ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.10/1.47     ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.10/1.47     ],
% 1.10/1.47     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.10/1.47    ,
% 1.10/1.47     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.10/1.47     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.10/1.48    'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.10/1.48    'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.10/1.48    'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.10/1.48     ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.10/1.48     ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.10/1.48    'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.10/1.48    'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.10/1.48    'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.10/1.48     ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.10/1.48     ],
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.10/1.48     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.10/1.48    ,
% 1.10/1.48     [ 'c_fequal'( X, X, Y ) ],
% 1.10/1.48     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.10/1.48  ] .
% 1.10/1.48  
% 1.10/1.48  
% 1.10/1.48  percentage equality = 0.291211, percentage horn = 0.885525
% 1.10/1.48  This is a problem with some equality
% 1.10/1.48  
% 1.10/1.48  
% 1.10/1.48  
% 1.10/1.48  Options Used:
% 1.10/1.48  
% 1.10/1.48  useres =            1
% 1.10/1.48  useparamod =        1
% 1.10/1.48  useeqrefl =         1
% 1.10/1.48  useeqfact =         1
% 1.10/1.48  usefactor =         1
% 1.10/1.48  usesimpsplitting =  0
% 1.10/1.48  usesimpdemod =      5
% 1.10/1.48  usesimpres =        3
% 1.10/1.48  
% 1.10/1.48  resimpinuse      =  1000
% 1.10/1.48  resimpclauses =     20000
% 1.10/1.48  substype =          eqrewr
% 1.10/1.48  backwardsubs =      1
% 1.10/1.48  selectoldest =      5
% 1.10/1.48  
% 1.10/1.48  litorderings [0] =  split
% 1.10/1.48  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.10/1.48  
% 1.10/1.48  termordering =      kbo
% 1.10/1.48  
% 1.10/1.48  litapriori =        0
% 1.10/1.48  termapriori =       1
% 1.10/1.48  litaposteriori =    0
% 1.10/1.48  termaposteriori =   0
% 1.10/1.48  demodaposteriori =  0
% 1.10/1.48  ordereqreflfact =   0
% 1.10/1.48  
% 1.10/1.48  litselect =         negord
% 1.10/1.48  
% 1.10/1.48  maxweight =         15
% 1.10/1.48  maxdepth =          30000
% 1.10/1.48  maxlength =         115
% 1.10/1.48  maxnrvars =         195
% 1.10/1.48  excuselevel =       1
% 1.10/1.48  increasemaxweight = 1
% 1.10/1.48  
% 1.10/1.48  maxselected =       10000000
% 1.10/1.48  maxnrclauses =      10000000
% 1.10/1.48  
% 1.10/1.48  showgenerated =    0
% 1.10/1.48  showkept =         0
% 1.10/1.48  showselected =     0
% 1.10/1.48  showdeleted =      0
% 1.10/1.48  showresimp =       1
% 1.10/1.48  showstatus =       2000
% 1.10/1.48  
% 1.10/1.48  prologoutput =     1
% 1.10/1.48  nrgoals =          5000000
% 1.10/1.48  totalproof =       1
% 1.10/1.48  
% 1.10/1.48  Symbols occurring in the translation:
% 1.10/1.48  
% 1.10/1.48  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.10/1.48  .  [1, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 1.10/1.48  !  [4, 1]      (w:0, o:71, a:1, s:1, b:0), 
% 1.10/1.48  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.10/1.48  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.10/1.48  'class_OrderedGroup_Opordered__ab__group__add__abs'  [40, 1]      (w:1, o:
% 1.10/1.48    77, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Oabs__class_Oabs'  [42, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Ominus__class_Ominus'  [44, 3]      (w:1, o:176, a:1, s:1, b:0), 
% 1.10/1.48  'c_lessequals'  [45, 3]      (w:1, o:177, a:1, s:1, b:0), 
% 1.10/1.48  'class_Int_Onumber__ring'  [46, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Ouminus__class_Ouminus'  [48, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Otimes__class_Otimes'  [49, 1]      (w:1, o:79, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Oone__class_Oone'  [50, 1]      (w:1, o:80, a:1, s:1, b:0), 
% 1.10/1.48  hAPP  [51, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 1.10/1.48  'class_Ring__and__Field_Opordered__cancel__semiring'  [52, 1]      (w:1, o:
% 1.10/1.48    90, a:1, s:1, b:0), 
% 1.10/1.48  'c_HOL_Ozero__class_Ozero'  [53, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 1.10/1.48  'class_Ring__and__Field_Oordered__ring__strict'  [54, 1]      (w:1, o:84
% 2.19/2.57    , a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Opordered__ring'  [55, 1]      (w:1, o:92, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'tc_nat'  [56, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 2.19/2.57  'c_HOL_Oplus__class_Oplus'  [57, 1]      (w:1, o:93, a:1, s:1, b:0), 
% 2.19/2.57  'c_Suc'  [60, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Opordered__ab__group__add'  [61, 1]      (w:1, o:94, a:
% 2.19/2.57    1, s:1, b:0), 
% 2.19/2.57  'c_HOL_Oord__class_Oless'  [65, 3]      (w:1, o:178, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Oordered__idom'  [66, 1]      (w:1, o:85, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'c_Power_Opower__class_Opower'  [67, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 2.19/2.57  'c_Parity_Oeven__odd__class_Oeven'  [68, 2]      (w:1, o:172, a:1, s:1, b:0
% 2.19/2.57    ), 
% 2.19/2.57  'c_Int_OMin'  [69, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 2.19/2.57  'c_Int_Onumber__class_Onumber__of'  [70, 2]      (w:1, o:173, a:1, s:1, b:0
% 2.19/2.57    ), 
% 2.19/2.57  'class_Ring__and__Field_Osemiring__0'  [71, 1]      (w:1, o:100, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'class_Power_Opower'  [72, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 2.19/2.57  'c_Divides_Odiv__class_Omod'  [77, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Omult__mono'  [78, 1]      (w:1, o:122, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'class_Ring__and__Field_Omult__mono1'  [79, 1]      (w:1, o:123, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'c_Divides_Odiv__class_Odiv'  [81, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Ocomm__monoid__add'  [82, 1]      (w:1, o:101, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'c_Power_Opower_Opower'  [83, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 2.19/2.57  'class_Divides_Osemiring__div'  [84, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Ozero__neq__one'  [85, 1]      (w:1, o:126, a:1, s:
% 2.19/2.57    1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Ono__zero__divisors'  [86, 1]      (w:1, o:83, a:1
% 2.19/2.57    , s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Omult__zero'  [87, 1]      (w:1, o:82, a:1, s:1, b:
% 2.19/2.57    0), 
% 2.19/2.57  'class_Ring__and__Field_Ocomm__semiring__1'  [88, 1]      (w:1, o:128, a:1
% 2.19/2.57    , s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Olordered__ab__group__add'  [90, 1]      (w:1, o:102
% 2.19/2.57    , a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Opordered__ring__abs'  [91, 1]      (w:1, o:129, a:
% 2.19/2.57    1, s:1, b:0), 
% 2.19/2.57  'class_Orderings_Oorder'  [92, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 2.19/2.57  hBOOL  [97, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 2.19/2.57  'c_Groebner__Basis_Ogb__semiring'  [103, 6]      (w:1, o:187, a:1, s:1, b:0
% 2.19/2.57    ), 
% 2.19/2.57  'class_OrderedGroup_Oordered__ab__group__add'  [104, 1]      (w:1, o:76, a:
% 2.19/2.57    1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Opordered__semiring'  [105, 1]      (w:1, o:131, a:
% 2.19/2.57    1, s:1, b:0), 
% 2.19/2.57  'class_Divides_Oring__div'  [106, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Ogroup__add'  [107, 1]      (w:1, o:104, a:1, s:1, b:0)
% 2.19/2.57    , 
% 2.19/2.57  'class_OrderedGroup_Oab__group__add'  [108, 1]      (w:1, o:105, a:1, s:1
% 2.19/2.57    , b:0), 
% 2.19/2.57  'class_Ring__and__Field_Ocomm__ring__1'  [114, 1]      (w:1, o:127, a:1, s:
% 2.19/2.57    1, b:0), 
% 2.19/2.57  'class_Lattices_Oboolean__algebra'  [115, 1]      (w:1, o:132, a:1, s:1, b:
% 2.19/2.57    0), 
% 2.19/2.57  'class_OrderedGroup_Olordered__ab__group__add__abs'  [116, 1]      (w:1, o:
% 2.19/2.57    106, a:1, s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Opordered__comm__monoid__add'  [117, 1]      (w:1, o:
% 2.19/2.57    107, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Oidom'  [118, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 2.19/2.57    
% 2.19/2.57  'class_Ring__and__Field_Oabs__if'  [119, 1]      (w:1, o:134, a:1, s:1, b:0
% 2.19/2.57    ), 
% 2.19/2.57  'class_Orderings_Olinorder'  [120, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [121, 1]      
% 2.19/2.57    (w:1, o:109, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Olordered__ring'  [122, 1]      (w:1, o:81, a:1, s:
% 2.19/2.57    1, b:0), 
% 2.19/2.57  'c_COMBC'  [126, 5]      (w:1, o:186, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Oordered__semidom'  [128, 1]      (w:1, o:86, a:1
% 2.19/2.57    , s:1, b:0), 
% 2.19/2.57  'class_OrderedGroup_Omonoid__mult'  [130, 1]      (w:1, o:110, a:1, s:1, b:
% 2.19/2.57    0), 
% 2.19/2.57  'c_Fun_Oinj__on'  [132, 4]      (w:1, o:184, a:1, s:1, b:0), 
% 2.19/2.57  'c_Int_OPls'  [136, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 2.19/2.57  'c_Int_OBit1'  [137, 1]      (w:1, o:136, a:1, s:1, b:0), 
% 2.19/2.57  'c_Int_OBit0'  [138, 1]      (w:1, o:135, a:1, s:1, b:0), 
% 2.19/2.57  'class_Orderings_Opreorder'  [139, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 2.19/2.57  'class_Ring__and__Field_Oordered__semiring__strict'  [140, 1]      (w:1, o:
% 11.74/12.15    87, a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Oordered__semiring'  [141, 1]      (w:1, o:88, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Oring'  [142, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Oring__no__zero__divisors'  [143, 1]      (w:1, o:
% 11.74/12.15    97, a:1, s:1, b:0), 
% 11.74/12.15  'class_RealVector_Oreal__normed__algebra'  [144, 1]      (w:1, o:137, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'c_FFT__Mirabelle_OFFT'  [147, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [148, 1]      
% 11.74/12.15    (w:1, o:89, a:1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [149, 1]      
% 11.74/12.15    (w:1, o:112, a:1, s:1, b:0), 
% 11.74/12.15  'class_Int_Onumber'  [150, 1]      (w:1, o:138, a:1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Ocomm__monoid__mult'  [153, 1]      (w:1, o:113, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Opordered__ab__semigroup__add'  [155, 1]      (w:1, o:
% 11.74/12.15    114, a:1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Omonoid__add'  [156, 1]      (w:1, o:115, a:1, s:1, b:0
% 11.74/12.15    ), 
% 11.74/12.15  'class_Ring__and__Field_Oring__1'  [157, 1]      (w:1, o:98, a:1, s:1, b:0)
% 11.74/12.15    , 
% 11.74/12.15  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [160, 1]      (w:1
% 11.74/12.15    , o:99, a:1, s:1, b:0), 
% 11.74/12.15  'c_FFT__Mirabelle_ODFT'  [162, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 11.74/12.15  'tc_Complex_Ocomplex'  [163, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 11.74/12.15  'c_COMBB'  [164, 5]      (w:1, o:185, a:1, s:1, b:0), 
% 11.74/12.15  'c_FFT__Mirabelle_Oroot'  [165, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 11.74/12.15  'tc_fun'  [166, 2]      (w:1, o:175, a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Osemiring__1'  [167, 1]      (w:1, o:140, a:1, s:1
% 11.74/12.15    , b:0), 
% 11.74/12.15  'c_Complex_Oii'  [169, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Osemiring'  [171, 1]      (w:1, o:141, a:1, s:1, b:
% 11.74/12.15    0), 
% 11.74/12.15  'v_ka____'  [172, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 11.74/12.15  'v_i____'  [173, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Ocancel__semigroup__add'  [174, 1]      (w:1, o:116, a:
% 11.74/12.15    1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [175, 1]      (w:1, o:117
% 11.74/12.15    , a:1, s:1, b:0), 
% 11.74/12.15  'class_Ring__and__Field_Ocomm__semiring'  [176, 1]      (w:1, o:142, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Oab__semigroup__mult'  [177, 1]      (w:1, o:118, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Oab__semigroup__idem__mult'  [178, 1]      (w:1, o:119
% 11.74/12.15    , a:1, s:1, b:0), 
% 11.74/12.15  'class_OrderedGroup_Oab__semigroup__add'  [179, 1]      (w:1, o:120, a:1
% 11.74/12.15    , s:1, b:0), 
% 11.74/12.15  'class_Int_Oring__char__0'  [180, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 11.74/12.15  'v_a____'  [181, 0]      (w:1, o:65, a:1, s:1, b:0), 
% 11.74/12.15  'tc_Int_Oint'  [184, 0]      (w:1, o:68, a:1, s:1, b:0), 
% 11.74/12.15  'c_fequal'  [185, 3]      (w:1, o:183, a:1, s:1, b:0).
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Starting Search:
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    5100
% 11.74/12.15  Kept:         2011
% 11.74/12.15  Inuse:        118
% 11.74/12.15  Deleted:      3
% 11.74/12.15  Deletedinuse: 0
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    12634
% 11.74/12.15  Kept:         4069
% 11.74/12.15  Inuse:        254
% 11.74/12.15  Deleted:      8
% 11.74/12.15  Deletedinuse: 1
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    21257
% 11.74/12.15  Kept:         6145
% 11.74/12.15  Inuse:        312
% 11.74/12.15  Deleted:      11
% 11.74/12.15  Deletedinuse: 2
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    29164
% 11.74/12.15  Kept:         9186
% 11.74/12.15  Inuse:        343
% 11.74/12.15  Deleted:      18
% 11.74/12.15  Deletedinuse: 6
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    38754
% 11.74/12.15  Kept:         11257
% 11.74/12.15  Inuse:        369
% 11.74/12.15  Deleted:      18
% 11.74/12.15  Deletedinuse: 6
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    44952
% 11.74/12.15  Kept:         13355
% 11.74/12.15  Inuse:        455
% 11.74/12.15  Deleted:      22
% 11.74/12.15  Deletedinuse: 6
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    51427
% 11.74/12.15  Kept:         15515
% 11.74/12.15  Inuse:        513
% 11.74/12.15  Deleted:      24
% 11.74/12.15  Deletedinuse: 6
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    58860
% 11.74/12.15  Kept:         17656
% 11.74/12.15  Inuse:        553
% 11.74/12.15  Deleted:      24
% 11.74/12.15  Deletedinuse: 6
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  Resimplifying inuse:
% 11.74/12.15  Done
% 11.74/12.15  
% 11.74/12.15  
% 11.74/12.15  Intermediate Status:
% 11.74/12.15  Generated:    70161
% 11.74/12.15  Kept:         20031
% 27.71/28.07  Inuse:        592
% 27.71/28.07  Deleted:      25
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying clauses:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    81492
% 27.71/28.07  Kept:         22814
% 27.71/28.07  Inuse:        622
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    86664
% 27.71/28.07  Kept:         25116
% 27.71/28.07  Inuse:        637
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    94115
% 27.71/28.07  Kept:         27144
% 27.71/28.07  Inuse:        662
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    103604
% 27.71/28.07  Kept:         29171
% 27.71/28.07  Inuse:        677
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    109469
% 27.71/28.07  Kept:         31186
% 27.71/28.07  Inuse:        687
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    115454
% 27.71/28.07  Kept:         33211
% 27.71/28.07  Inuse:        716
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    121009
% 27.71/28.07  Kept:         35252
% 27.71/28.07  Inuse:        737
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    128225
% 27.71/28.07  Kept:         37474
% 27.71/28.07  Inuse:        772
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    135269
% 27.71/28.07  Kept:         39487
% 27.71/28.07  Inuse:        816
% 27.71/28.07  Deleted:      860
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying clauses:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    143108
% 27.71/28.07  Kept:         41567
% 27.71/28.07  Inuse:        851
% 27.71/28.07  Deleted:      1390
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    151714
% 27.71/28.07  Kept:         45067
% 27.71/28.07  Inuse:        871
% 27.71/28.07  Deleted:      1390
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    159904
% 27.71/28.07  Kept:         47487
% 27.71/28.07  Inuse:        881
% 27.71/28.07  Deleted:      1390
% 27.71/28.07  Deletedinuse: 6
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    176036
% 27.71/28.07  Kept:         53213
% 27.71/28.07  Inuse:        922
% 27.71/28.07  Deleted:      1395
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    184987
% 27.71/28.07  Kept:         55347
% 27.71/28.07  Inuse:        937
% 27.71/28.07  Deleted:      1395
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    201323
% 27.71/28.07  Kept:         57347
% 27.71/28.07  Inuse:        971
% 27.71/28.07  Deleted:      1395
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    213223
% 27.71/28.07  Kept:         59398
% 27.71/28.07  Inuse:        1017
% 27.71/28.07  Deleted:      1395
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying clauses:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    226048
% 27.71/28.07  Kept:         62504
% 27.71/28.07  Inuse:        1047
% 27.71/28.07  Deleted:      1593
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    234786
% 27.71/28.07  Kept:         64510
% 27.71/28.07  Inuse:        1078
% 27.71/28.07  Deleted:      1593
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    249012
% 27.71/28.07  Kept:         67479
% 27.71/28.07  Inuse:        1122
% 27.71/28.07  Deleted:      1593
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    266052
% 27.71/28.07  Kept:         70085
% 27.71/28.07  Inuse:        1167
% 27.71/28.07  Deleted:      1593
% 27.71/28.07  Deletedinuse: 7
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    295844
% 27.71/28.07  Kept:         73097
% 27.71/28.07  Inuse:        1202
% 27.71/28.07  Deleted:      1594
% 27.71/28.07  Deletedinuse: 8
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    312714
% 27.71/28.07  Kept:         75520
% 27.71/28.07  Inuse:        1212
% 27.71/28.07  Deleted:      1594
% 27.71/28.07  Deletedinuse: 8
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    327811
% 27.71/28.07  Kept:         79082
% 27.71/28.07  Inuse:        1246
% 27.71/28.07  Deleted:      1594
% 27.71/28.07  Deletedinuse: 8
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying inuse:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  Resimplifying clauses:
% 27.71/28.07  Done
% 27.71/28.07  
% 27.71/28.07  
% 27.71/28.07  Intermediate Status:
% 27.71/28.07  Generated:    335349
% 27.71/28.07  Kept:         81125
% 70.55/70.94  Inuse:        1268
% 70.55/70.94  Deleted:      2301
% 70.55/70.94  Deletedinuse: 8
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    341662
% 70.55/70.94  Kept:         83129
% 70.55/70.94  Inuse:        1293
% 70.55/70.94  Deleted:      2301
% 70.55/70.94  Deletedinuse: 8
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    347722
% 70.55/70.94  Kept:         85148
% 70.55/70.94  Inuse:        1317
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    355195
% 70.55/70.94  Kept:         87265
% 70.55/70.94  Inuse:        1337
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    363193
% 70.55/70.94  Kept:         89294
% 70.55/70.94  Inuse:        1367
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    370519
% 70.55/70.94  Kept:         91451
% 70.55/70.94  Inuse:        1392
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    379307
% 70.55/70.94  Kept:         93457
% 70.55/70.94  Inuse:        1428
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    401025
% 70.55/70.94  Kept:         97725
% 70.55/70.94  Inuse:        1472
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    412668
% 70.55/70.94  Kept:         100405
% 70.55/70.94  Inuse:        1477
% 70.55/70.94  Deleted:      2302
% 70.55/70.94  Deletedinuse: 9
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying clauses:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    426415
% 70.55/70.94  Kept:         102765
% 70.55/70.94  Inuse:        1522
% 70.55/70.94  Deleted:      2514
% 70.55/70.94  Deletedinuse: 11
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    437170
% 70.55/70.94  Kept:         104982
% 70.55/70.94  Inuse:        1542
% 70.55/70.94  Deleted:      2515
% 70.55/70.94  Deletedinuse: 12
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    446939
% 70.55/70.94  Kept:         107177
% 70.55/70.94  Inuse:        1562
% 70.55/70.94  Deleted:      2515
% 70.55/70.94  Deletedinuse: 12
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    455053
% 70.55/70.94  Kept:         109277
% 70.55/70.94  Inuse:        1582
% 70.55/70.94  Deleted:      2515
% 70.55/70.94  Deletedinuse: 12
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    464456
% 70.55/70.94  Kept:         111479
% 70.55/70.94  Inuse:        1607
% 70.55/70.94  Deleted:      2515
% 70.55/70.94  Deletedinuse: 12
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    474361
% 70.55/70.94  Kept:         113483
% 70.55/70.94  Inuse:        1635
% 70.55/70.94  Deleted:      2515
% 70.55/70.94  Deletedinuse: 12
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    485605
% 70.55/70.94  Kept:         115548
% 70.55/70.94  Inuse:        1667
% 70.55/70.94  Deleted:      2516
% 70.55/70.94  Deletedinuse: 13
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    499416
% 70.55/70.94  Kept:         117789
% 70.55/70.94  Inuse:        1702
% 70.55/70.94  Deleted:      2516
% 70.55/70.94  Deletedinuse: 13
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    517213
% 70.55/70.94  Kept:         121876
% 70.55/70.94  Inuse:        1737
% 70.55/70.94  Deleted:      2516
% 70.55/70.94  Deletedinuse: 13
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying clauses:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    528299
% 70.55/70.94  Kept:         123890
% 70.55/70.94  Inuse:        1767
% 70.55/70.94  Deleted:      3710
% 70.55/70.94  Deletedinuse: 20
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    541678
% 70.55/70.94  Kept:         125994
% 70.55/70.94  Inuse:        1806
% 70.55/70.94  Deleted:      3710
% 70.55/70.94  Deletedinuse: 20
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    551826
% 70.55/70.94  Kept:         128026
% 70.55/70.94  Inuse:        1836
% 70.55/70.94  Deleted:      3711
% 70.55/70.94  Deletedinuse: 21
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    561300
% 70.55/70.94  Kept:         130060
% 70.55/70.94  Inuse:        1856
% 70.55/70.94  Deleted:      3711
% 70.55/70.94  Deletedinuse: 21
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    569882
% 70.55/70.94  Kept:         132092
% 70.55/70.94  Inuse:        1876
% 70.55/70.94  Deleted:      3711
% 70.55/70.94  Deletedinuse: 21
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    579831
% 70.55/70.94  Kept:         134387
% 70.55/70.94  Inuse:        1896
% 70.55/70.94  Deleted:      3711
% 70.55/70.94  Deletedinuse: 21
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  Resimplifying inuse:
% 70.55/70.94  Done
% 70.55/70.94  
% 70.55/70.94  
% 70.55/70.94  Intermediate Status:
% 70.55/70.94  Generated:    590055
% 138.18/138.62  Kept:         136402
% 138.18/138.62  Inuse:        1919
% 138.18/138.62  Deleted:      3711
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    600342
% 138.18/138.62  Kept:         138718
% 138.18/138.62  Inuse:        1941
% 138.18/138.62  Deleted:      3711
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    609646
% 138.18/138.62  Kept:         140921
% 138.18/138.62  Inuse:        1961
% 138.18/138.62  Deleted:      3711
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying clauses:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    617633
% 138.18/138.62  Kept:         142939
% 138.18/138.62  Inuse:        1977
% 138.18/138.62  Deleted:      4462
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    627211
% 138.18/138.62  Kept:         145231
% 138.18/138.62  Inuse:        2001
% 138.18/138.62  Deleted:      4462
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    636554
% 138.18/138.62  Kept:         147397
% 138.18/138.62  Inuse:        2026
% 138.18/138.62  Deleted:      4462
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    645424
% 138.18/138.62  Kept:         149549
% 138.18/138.62  Inuse:        2046
% 138.18/138.62  Deleted:      4462
% 138.18/138.62  Deletedinuse: 21
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    687104
% 138.18/138.62  Kept:         153289
% 138.18/138.62  Inuse:        2051
% 138.18/138.62  Deleted:      4463
% 138.18/138.62  Deletedinuse: 22
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    697968
% 138.18/138.62  Kept:         155672
% 138.18/138.62  Inuse:        2056
% 138.18/138.62  Deleted:      4463
% 138.18/138.62  Deletedinuse: 22
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    708920
% 138.18/138.62  Kept:         158058
% 138.18/138.62  Inuse:        2061
% 138.18/138.62  Deleted:      4463
% 138.18/138.62  Deletedinuse: 22
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    723340
% 138.18/138.62  Kept:         160829
% 138.18/138.62  Inuse:        2066
% 138.18/138.62  Deleted:      4463
% 138.18/138.62  Deletedinuse: 22
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    760004
% 138.18/138.62  Kept:         165644
% 138.18/138.62  Inuse:        2073
% 138.18/138.62  Deleted:      4466
% 138.18/138.62  Deletedinuse: 22
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying clauses:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    789954
% 138.18/138.62  Kept:         169623
% 138.18/138.62  Inuse:        2078
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    830263
% 138.18/138.62  Kept:         174885
% 138.18/138.62  Inuse:        2083
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    841772
% 138.18/138.62  Kept:         176899
% 138.18/138.62  Inuse:        2110
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    852704
% 138.18/138.62  Kept:         179219
% 138.18/138.62  Inuse:        2133
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    865171
% 138.18/138.62  Kept:         181651
% 138.18/138.62  Inuse:        2138
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    877773
% 138.18/138.62  Kept:         184060
% 138.18/138.62  Inuse:        2143
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    886232
% 138.18/138.62  Kept:         186156
% 138.18/138.62  Inuse:        2158
% 138.18/138.62  Deleted:      5343
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying clauses:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    892265
% 138.18/138.62  Kept:         188775
% 138.18/138.62  Inuse:        2168
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    898392
% 138.18/138.62  Kept:         191367
% 138.18/138.62  Inuse:        2178
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    910487
% 138.18/138.62  Kept:         194038
% 138.18/138.62  Inuse:        2183
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    923786
% 138.18/138.62  Kept:         196724
% 138.18/138.62  Inuse:        2188
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    936599
% 138.18/138.62  Kept:         199181
% 138.18/138.62  Inuse:        2218
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    947402
% 138.18/138.62  Kept:         201431
% 138.18/138.62  Inuse:        2238
% 138.18/138.62  Deleted:      5514
% 138.18/138.62  Deletedinuse: 23
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  Resimplifying inuse:
% 138.18/138.62  Done
% 138.18/138.62  
% 138.18/138.62  
% 138.18/138.62  Intermediate Status:
% 138.18/138.62  Generated:    955237
% 138.18/138.62  Kept:         203444
% 138.18/138.62  Inuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------